View source for Physics:Partition coefficient

{{Short description|Ratio of concentrations in a mixture at equilibrium}}
{{EngvarB|date = February 2019}}
In the physical sciences, a '''partition coefficient''' ('''''P''''') or '''distribution coefficient''' ('''''D''''') is the ratio of [[Chemistry:Concentration|concentration]]s of a [[Chemistry:Chemical compound|compound]] in a mixture of two immiscible solvents at [[Physics:Partition equilibrium|equilibrium]]. This ratio is therefore a comparison of the solubilities of the solute in these two liquids. The partition coefficient generally refers to the concentration ratio of [[Physics:Ionization|un-ionized]] species of compound, whereas the distribution coefficient refers to the concentration ratio of all species of the compound (ionized plus un-ionized).<ref>{{cite book | vauthors = Kwon Y | title = Handbook of Essential Pharmacokinetics, Pharmacodynamics and Drug Metabolism for Industrial Scientists | date = 2001 | publisher = Kluwer Academic/Plenum Publishers | isbn = 978-1-4757-8693-4 | page = 44 | chapter = 4.2.4: Partition and Distribution Coefficients | chapter-url = https://books.google.com/books?id=yt7pBwAAQBAJ&pg=PA44 | location = New York }}</ref>

In the [[Chemistry:Chemistry|chemical]] and pharmaceutical sciences, both phases usually are [[Physics:Solvent|solvent]]s.<ref name="Leo">{{cite journal | vauthors = Leo A, Hansch C, Elkins D |  title = Partition coefficients and their uses | journal = Chem. Rev. | volume = 71 | issue = 6 | pages = 525–616 | year = 1971 | doi = 10.1021/cr60274a001 }}</ref> Most commonly, one of the solvents is water, while the second is [[Chemistry:Hydrophobic|hydrophobic]], such as 1-octanol.<ref name="Sangster">{{cite book | vauthors = Sangster J | title = Octanol–Water Partition Coefficients: Fundamentals and Physical Chemistry | volume = 2 | series = Wiley Series in Solution Chemistry | publisher = John Wiley & Sons Ltd. | year = 1997 | location = Chichester | pages = 178 | isbn=978-0-471-97397-3 }}</ref> Hence the partition coefficient measures how [[Chemistry:Hydrophilic|hydrophilic]] ("water-loving") or [[Chemistry:Hydrophobic|hydrophobic]] ("water-fearing") a chemical substance is. Partition coefficients are useful in estimating the [[Medicine:Distribution (pharmacology)|distribution]] of drugs within the body. Hydrophobic drugs with high [[Physics:Octanol-water partition coefficient|octanol-water partition coefficient]]s are mainly distributed to hydrophobic areas such as lipid bilayers of cells. Conversely, hydrophilic drugs (low octanol/water partition coefficients) are found primarily in aqueous regions such as [[Biology:Blood plasma|blood serum]].<ref>{{cite book | vauthors = Shargel L, Susanna WP, Yu AB | title = Applied Biopharmaceutics & Pharmacokinetics | date = 2012 | publisher = McGraw-Hill Medical | location = New York | isbn = 978-0-07-160393-5 | page = 211 | chapter = Chapter 10: Physiological Drug Distribution and Protein Binding | edition = 6th }}</ref>

If one of the solvents is a gas and the other a liquid, a gas/liquid partition coefficient can be determined. For example, the blood/gas partition coefficient of a general anesthetic measures how easily the anesthetic passes from gas to blood.<ref>{{cite book | vauthors = Golan DE, Tashjian AH, Armstrong EJ, Armstrong AP | title = Principles of Pharmacology: The Pathophysiologic Basis of Drug Therapy | date = 2008 | publisher = Lippincott Williams & Wilkins | location = Philadelphia, Pa. | isbn = 978-0-7817-8355-2 | page = 243 | edition = 2nd | chapter = Chapter 15: General Anesthetic Pharmacology | chapter-url = https://books.google.com/books?id=az8uSDkB0mgC&q=gas+blood+partition+coefficient&pg=PA243 }}</ref> Partition coefficients can also be defined when one of the phases is [[Physics:Solid|solid]], for instance, when one phase is a molten [[Chemistry:Metal|metal]] and the second is a solid metal,<ref name = StallmanSolidification>{{cite book | vauthors = Stallman RE, Ngan AH | title = Modern Physical Metallurgy | date = 2014 | publisher = Elsevier/Butterworth-Heinemann | location = Amsterdam | isbn = 978-0-08-098204-5 | edition = 8th | chapter = Chapter 3: Solidification | pages = 93–120, esp. 106ff}}</ref> or when both phases are solids.<ref>{{cite book | vauthors = Machlin ES | title = An Introduction to Aspects of Thermodynamics and Kinetics Relevant to Materials Science | date = 2007 | publisher = Elsevier | location = Amsterdam|isbn=978-0-08-054968-2 | page = 98 | edition = 3rd | chapter = Chapter 3: Free Energy and Phase Diagrams | chapter-url = https://books.google.com/books?id=a9qMi8IMYmQC&pg=PR6 | quote = Solid–solid equilibria equivalent to the solid–liquid case }}</ref> The partitioning of a substance into a solid results in a [[Physics:Solid solution|solid solution]].

Partition coefficients can be measured experimentally in various ways (by shake-flask, HPLC, etc.) or estimated by calculation based on a variety of methods (fragment-based, atom-based, etc.).

If a substance is present as several [[Chemistry:Chemical species|chemical species]] in the partition system due to association or [[Chemistry:Dissociation|dissociation]], each species is assigned its own ''K''<sub>ow</sub> value. A related value, D, does not distinguish between different species, only indicating the concentration ratio of the substance between the two phases.{{Citation needed|date=June 2021}}<!-- Text from directly transferring relevant information from Octanol-water partition coefficient article, add ref if text sourced there -->

== Nomenclature ==
Despite formal recommendation to the contrary, the term ''partition coefficient'' remains the predominantly used term in the scientific literature.<ref name="McAuley_2013">{{cite book | vauthors = McAuley W | chapter = Hydrophobicity and Partitioning | chapter-url = https://books.google.com/books?id=lZGcAQAAQBAJ&pg=PT144 | veditors = Denton P, Rostron C | title = Pharmaceutics: The Science of Medicine Design | date = 2013 | isbn = 978-0-19-965531-1 | page = 129  | publisher = OUP Oxford }}</ref>{{additional citation needed|date=March 2016}}
<!--More examples than one are needed for this far-reaching statement. Best, if we can supply a source where someone actually says this very thing. In terms of collecting examples, the two physical pharmacy sources recently linked in Talk could supply two more sources.-->

In contrast, the IUPAC recommends that the title term no longer be used, rather, that it be replaced with more specific terms.<ref name="isbn0-86542-684-8"/> For example, ''partition constant'', defined as
{{NumBlk|:|{{math|1= (''K''<sub>D</sub>)<sub>A</sub> = {{sfrac|[A]<sub>org</sub> | [A]<sub>aq</sub>}}}},|{{EquationRef|1}}}}
where ''K''<sub>D</sub> is the process [[Chemistry:Equilibrium constant|equilibrium constant]], [A] represents the concentration of solute A being tested, and "org" and "aq" refer to the organic and aqueous phases respectively. The IUPAC further recommends "partition ratio" for cases where transfer activity coefficients can be determined, and "distribution ratio" for the ratio of total analytical concentrations of a solute between phases, regardless of chemical form.<ref name="isbn0-86542-684-8">{{cite book | vauthors = Wilkinson AM, McNaught AD | veditors = Miloslav N, Jirát J, Košata B, Jenkins A, McNaught A | title = Compendium of Chemical Terminology: IUPAC Recommendations | publisher = Blackwell Science | location = Oxford | year = 1997 | isbn = 978-0-86542-684-9 | doi = 10.1351/goldbook | chapter = Partition Coefficient | chapter-url = http://goldbook.iupac.org/P04437.html }}</ref>

== Partition coefficient and log ''P'' ==
[[Image:Separatory funnel with oil and colored water.jpg|thumb|upright|An equilibrium of dissolved substance distributed between a hydrophobic phase and a hydrophilic phase is established in special glassware such as this [[Chemistry:Separatory funnel|separatory funnel]] that allows shaking and sampling, from which the log ''P'' is determined. Here, the green substance has a greater solubility in the lower layer than in the upper layer.]]
The '''partition coefficient''', abbreviated '''''P''''', is defined as a particular ratio of the [[Chemistry:Concentration|concentration]]s of a solute between the two solvents (a biphase of liquid phases), specifically for un-[[Chemistry:Dissociation|ionized]] solutes, and the [[Logarithm|logarithm]] of the ratio is thus '''log ''P'''''.<ref name = "Comer_2001">{{cite book | veditors = Testa B, van de Waterbed H, Folkers G, Guy R, Comer J, Tam K | title = Pharmacokinetic Optimization in Drug Research: Biological, Physicochemical, and Computational Strategies | chapter = Lipophilicity Profiles: Theory and Measurement | date = 2001 | publisher = Wiley-VCH | location = Weinheim | isbn = 978-3-906390-22-2 | pages = 275–304 | doi = 10.1002/9783906390437.ch17 | vauthors = Comer J, Tam K }}</ref>{{rp|275ff}} When one of the solvents is water and the other is a non-polar solvent, then the log ''P'' value is a measure of [[Chemistry:Lipophilicity|lipophilicity]] or hydrophobicity.<ref name = "Comer_2001"/>{{rp|275ff}}<ref name = Martin2ndCh4/>{{rp|6}} The defined precedent is for the lipophilic and [[Chemistry:Hydrophilic|hydrophilic]] phase types to always be in the numerator and denominator respectively; for example, in a biphasic system of ''n''-[[Chemistry:Octanol|octanol]] (hereafter simply "octanol") and water:

: <math>\log P_\text{oct/wat} = \log_{10}\left(\frac{\big[\text{solute}\big]_\text{octanol}^\text{un-ionized}}{\big[\text{solute}\big]_\text{water}^\text{un-ionized}}\right).</math>

To a first approximation, the non-polar phase in such experiments is usually dominated by the un-ionized form of the solute, which is electrically neutral, though this may not be true for the aqueous phase. To measure the ''partition coefficient of ionizable solutes'', the [[Chemistry:PH|pH]] of the aqueous phase is adjusted such that the predominant form of the compound in solution is the un-ionized, or its measurement at another pH of interest requires consideration of all species, un-ionized and ionized (see following).

A corresponding '''partition coefficient''' for ionizable compounds, abbreviated '''log ''P'' <sup>''I''</sup>''', is derived for cases where there are dominant [[Chemistry:Dissociation|ionized]] forms of the molecule, such that one must consider partition of all forms, ionized and un-ionized, between the two phases (as well as the interaction of the two equilibria, partition and ionization).<ref name = Martin2ndCh4/>{{rp|57ff,69f}}<ref name="logp_review">{{Cite journal | title = Lipophilicity Profiles of Ampholytes| vauthors = Pagliara A, Carrupt PA, Caron G, Gaillard P, Testa B | doi = 10.1021/cr9601019 | pmid = 11851494 | year = 1997 | journal = Chemical Reviews | pages = 3385–3400| volume = 97 | issue = 8 }}</ref> ''M'' is used to indicate the number of ionized forms; for the {{mvar|I}}-th form ({{math|1=''I'' = 1, 2, ... , ''M''}}) the logarithm of the corresponding partition coefficient, <math>\log P_\text{oct/wat}^I</math>, is defined in the same manner as for the un-ionized form. For instance, for an octanol–water partition, it is

: <math>\log\ P_\text{oct/wat}^\mathrm{I} = \log_{10}\left(\frac{\big[\text{solute}\big]_\text{octanol}^I}{\big[\text{solute}\big]_\text{water}^I}\right).</math>

To distinguish between this and the standard, un-ionized, partition coefficient, the un-ionized is often assigned the symbol '''log ''P''<sup>0</sup>''', such that the indexed <math>\log P_\text{oct/wat}^I</math> expression for ionized solutes becomes simply an extension of this, into the range of values {{math|''I'' > 0}}.{{citation needed|date=March 2016}}

== Distribution coefficient and log ''D'' ==
The '''distribution coefficient''', '''log ''D''''', is the ratio of the sum of the concentrations of all forms of the compound (ionized plus un-ionized) in each of the two phases, one essentially always aqueous; as such, it depends on the [[Chemistry:PH|pH]] of the aqueous phase, and log ''D'' = log ''P'' for non-ionizable compounds at any pH.<ref name="Scherrer"/><ref name="Manners_1998"/> For measurements of distribution coefficients, the pH of the aqueous phase is [[Chemistry:Buffer solution|buffered]] to a specific value such that the pH is not significantly perturbed by the introduction of the compound. The value of each '''log ''D''''' is then determined as the logarithm of a ratio—of the sum of the experimentally measured concentrations of the solute's various forms in one solvent, to the sum of such concentrations of its forms in the other solvent; it can be expressed as<ref name = "Comer_2001"/>{{rp|275–8}}

: <math>\log D_\text{oct/wat} = \log_{10}\left(\frac{\big[\text{solute}\big]_\text{octanol}^\text{ionized} + \big[\text{solute}\big]_\text{octanol}^\text{un-ionized}}{\big[\text{solute}\big]_\text{water}^\text{ionized} + \big[\text{solute}\big]_\text{water}^\text{un-ionized}}\right).</math>

In the above formula, the superscripts "ionized" each indicate the sum of concentrations of all ionized species in their respective phases. In addition, since log ''D'' is pH-dependent, the pH at which the log ''D'' was measured must be specified. In areas such as drug discovery—areas involving partition phenomena in biological systems such as the human body—the log ''D'' at the physiologic pH&nbsp;= 7.4 is of particular interest.{{citation needed|date=March 2016}}

It is often convenient to express the log ''D'' in terms of ''P''<sup>I</sup>, defined above (which includes ''P''<sup>0</sup> as state {{math|1=''I'' = 0}}), thus covering both un-ionized and ionized species.<ref name="logp_review" /> For example, in octanol–water:

: <math>\log D_\text{oct/wat} = \log_{10}\left(\sum_{I=0}^M f^I P_\text{oct/wat}^I \right),</math>

which sums the individual partition coefficients (not their logarithms), and where <math>f^I</math> indicates the pH-dependent [[Chemistry:Mole fraction|mole fraction]] of the {{mvar|I}}-th form (of the solute) in the aqueous phase, and other variables are defined as previously.<ref name="logp_review" />{{verification needed|date=March 2016}}

== Example partition coefficient data ==
The values for the octanol-water system in the following table are from the [[Physics:Dortmund Data Bank|Dortmund Data Bank]].<ref>{{cite web |url=http://www.ddbst.com/ddb-kow.html |title=Octanol–Water Partition Coefficients |work=ddbst.com |access-date=19 March 2016}}</ref>{{better source needed|date=March 2016}} They are sorted by the partition coefficient, smallest to largest (acetamide being hydrophilic, and 2,2',4,4',5-pentachlorobiphenyl lipophilic), and are presented with the temperature at which they were measured (which impacts the values).{{citation needed|date=March 2016}}

{| class="wikitable"
|-
! Component
! log ''P''<sub>OW</sub>
! ''T'' (°C)
|-
| [[Chemistry:Acetamide|Acetamide]]<ref name="Wolfenden">{{cite journal | vauthors = Wolfenden R | title = Interaction of the peptide bond with solvent water: a vapor phase analysis | journal = Biochemistry | volume = 17 | issue = 1 | pages = 201–4 | date = January 1978 | pmid = 618544 | doi = 10.1021/bi00594a030 | department = (primary) }}</ref> || −1.16 || 25
|-
| [[Chemistry:Methanol|Methanol]]<ref name="Collander">{{cite journal | vauthors = Collander R, Lindholm M, Haug CM, Stene J, Sörensen NA | title=The partition of organic compounds. between higher alcohols and water |journal= Acta Chem. Scand. |volume=5 |pages=774–780 |year= 1951| doi=10.3891/acta.chem.scand.05-0774 |url=http://actachemscand.org/pdf/acta_vol_05_p0774-0780.pdf |doi-access=free }}</ref> || −0.81 || 19
|-
| [[Chemistry:Formic acid|Formic acid]]<ref name="Whitehead">{{cite journal | vauthors = Whitehead KE, Geankoplis CJ | title=Separation of Formic and Sulfuric Acids by Extraction |journal= Ind. Eng. Chem. |volume=47 |issue=10 |pages=2114–2122 |year= 1955  |doi=10.1021/ie50550a029 }}</ref> || −0.41 || 25
|-
| [[Chemistry:Diethyl ether|Diethyl ether]]<ref name="Collander"/> || 0.83 || 20
|-
| p-Dichlorobenzene<ref name="Wasik">{{cite journal | vauthors = Wasik SP, Tewari YB, Miller MM, Martire DE | title= Octanol–Water Partition Coefficients and Aqueous Solubilities of Organic Compounds | journal = NBS Techn. Rep. | volume = 81 | issue = 2406 | pages = S1–56 | year = 1981 | url = http://nepis.epa.gov/Exe/ZyNET.exe/9101OLPC.txt?ZyActionD=ZyDocument&Client=EPA&Index=1981%20Thru%201985&Docs=&Query=&Time=&EndTime=&SearchMethod=1&TocRestrict=n&Toc=&TocEntry=&QField=&QFieldYear=&QFieldMonth=&QFieldDay=&UseQField=&IntQFieldOp=0&ExtQFieldOp=0&XmlQuery=&File=D%3A%5CZYFILES%5CINDEX%20DATA%5C81THRU85%5CTXT%5C00000025%5C9101OLPC.txt&User=ANONYMOUS&Password=anonymous&SortMethod=h%7C-&MaximumDocuments=1&FuzzyDegree=0&ImageQuality=r75g8/r75g8/x150y150g16/i425&Display=p%7Cf&DefSeekPage=x&SearchBack=ZyActionL&Back=ZyActionS&BackDesc=Results%20page&MaximumPages=1&ZyEntry=2 }}</ref> || 3.37 || 25
|-
| [[Chemistry:Hexamethylbenzene|Hexamethylbenzene]]<ref name="Wasik"/> || 4.61 || 25
|-
| 2,2',4,4',5-Pentachlorobiphenyl<ref name="Brodsky">{{cite journal | vauthors = Brodsky J, Ballschmiter K | title=Reversed phase liquid chromatography of PCBs as a basis for calculation of water solubility and ''K''<sub>ow</sub> for polychlorobiphenyls |journal= Fresenius' Z. Anal. Chem. |volume=331 |issue= 3–4|pages=295–301 |year= 1988 | doi=10.1007/BF00481899 | s2cid=91775126 }}</ref> || 6.41 || Ambient
|}

Values for other compounds may be found in a variety of available reviews and monographs.<ref name="Leo"/>{{rp|551ff}}<ref name="Hansch">{{cite book | vauthors = Hansch C, Leo A |  title = Substituent Constants for Correlation Analysis in Chemistry and Biology | chapter = Chapter 5: Calculation of Octanol-Water Partition Coefficients from Fragments, etc. | publisher = John Wiley & Sons Ltd. | year = 1979 | location = New York  | isbn = 978-0-471-05062-9 }}</ref>{{page needed|date=March 2016}}<ref name="Sangster_1989_PDF">{{cite journal | url = https://www.nist.gov/data/PDFfiles/jpcrd367.pdf | title = Octanol–Water Partition Coefficients of Simple Organic Compounds | vauthors = Sangster J | journal = Journal of Physical and Chemical Reference Data | volume = 18 | issue =3 | year = 1989 | pages = 1111–1227 | doi = 10.1063/1.555833 | bibcode = 1989JPCRD..18.1111S }}</ref>{{rp|1121ff}}<ref name="Leo2">{{cite book | vauthors = Leo A, Hoekman DH, Hansch C | author-link3 = Corwin Hansch | title = Exploring QSAR, Hydrophobic, Electronic, and Steric Constants | url = https://archive.org/details/exploringqsar0001unse | url-access = registration | chapter = Octanol log&nbsp;''P'' | publisher = American Chemical Society |year = 1995 | location = Washington, DC |isbn = 978-0-8412-3060-6 }}</ref>{{page needed|date=March 2016}}<ref name="Mannhold_2008">{{cite journal | vauthors = Mannhold R, Poda GI, Ostermann C, Tetko IV | title = Calculation of molecular lipophilicity: State-of-the-art and comparison of log P methods on more than 96,000 compounds | journal = Journal of Pharmaceutical Sciences | volume = 98 | issue = 3 | pages = 861–93 | date = March 2009 | pmid = 18683876 | doi = 10.1002/jps.21494  | s2cid = 9595034 }}</ref> Critical discussions of the challenges of measurement of log&nbsp;''P'' and related computation of its estimated values (see below) appear in several reviews.<ref name = Martin2ndCh4>{{cite book | vauthors = Martin YC | author-link1 = Yvonne Connolly Martin | title = Quantitative Drug Design: A critical introduction | url = https://archive.org/details/quantitativedrug00mart | url-access = limited | chapter = Chapter 4: The Hydrophobic Properties of Molecules | pages = [https://archive.org/details/quantitativedrug00mart/page/n81 66]–73 | date=2010 | publisher=CRC Press/Taylor & Francis | location=Boca Raton | isbn = 978-1-4200-7099-6 | edition=2nd }}</ref><ref name="Mannhold_2008"/>

== Applications ==
=== Pharmacology ===

A drug's distribution coefficient strongly affects how easily the drug can reach its intended target in the body, how strong an effect it will have once it reaches its target, and how long it will remain in the body in an active form.<ref>{{cite book | vauthors = Bodor N, Buchwald P | title = Retrometabolic Drug Design and Targeting | date = 2012 | publisher = John Wiley & Sons, Inc. | isbn = 978-1-118-40776-9 | chapter = Chapter 2.2: Pharmacokinetic Phase: ADME | chapter-url = https://books.google.com/books?id=Hjxe9jTGUfQC&q=partition+coefficient+drug+absorption+reach+target&pg=PT38 | department = (secondary) }}</ref> Hence, the log ''P'' of a molecule is one criterion used in decision-making by [[Chemistry:Medicinal chemistry|medicinal chemists]] in pre-clinical drug discovery, for example, in the assessment of [[Chemistry:Druglikeness|druglikeness]] of drug candidates.<ref name="pmid17971784">{{cite journal | vauthors = Leeson PD, Springthorpe B | title = The influence of drug-like concepts on decision-making in medicinal chemistry | journal = Nature Reviews. Drug Discovery | volume = 6 | issue = 11 | pages = 881–90 | date = November 2007 | pmid = 17971784 | doi = 10.1038/nrd2445 | s2cid = 205476574 }}</ref> Likewise, it is used to calculate [[Chemistry:Lipophilic efficiency|lipophilic efficiency]] in evaluating the quality of research compounds, where the efficiency for a compound is defined as its [[Chemistry:Potency (pharmacology)|potency]], via measured values of [[Chemistry:IC50|pIC<sub>50</sub>]] or [[Chemistry:EC50|pEC<sub>50</sub>]], minus its value of log ''P''.<ref>{{cite book | title = Role of Physicochemical Properties and Ligand Lipophilicity Efficiency in Addressing Drug Safety Risks | vauthors = Edwards MP, Price DA | doi = 10.1016/S0065-7743(10)45023-X | year = 2010 | pages = 381–391| volume = 45 | series = Annual Reports in Medicinal Chemistry | isbn = 978-0-12-380902-5 }}</ref>

[[File:Log_P_examples_01.png |thumb|upright=1.7|alt= |Drug permeability in brain capillaries (''y'' axis) as a function of partition coefficient (''x'' axis)<ref name="pmid10837718">{{cite journal | vauthors = Bodor N, Buchwald P | title = Recent advances in the brain targeting of neuropharmaceuticals by chemical delivery systems | journal = Advanced Drug Delivery Reviews | volume = 36 | issue = 2–3 | pages = 229–254 | date = April 1999 | pmid = 10837718 | doi = 10.1016/S0169-409X(98)00090-8 }}</ref>]]

==== Pharmacokinetics ====
In the context of [[Medicine:Pharmacokinetics|pharmacokinetics]] (how the body absorbs, metabolizes, and excretes a drug), the distribution coefficient has a strong influence on [[Chemistry:ADME|ADME]] properties of the drug. Hence the hydrophobicity of a compound (as measured by its distribution coefficient) is a major determinant of how [[Chemistry:Druglikeness|drug-like]] it is. More specifically, for a drug to be orally absorbed, it normally must first pass through [[Biology:Lipid bilayer|lipid bilayer]]s in the intestinal [[Biology:Epithelium|epithelium]] (a process known as transcellular transport). For efficient transport, the drug must be hydrophobic enough to partition into the lipid bilayer, but not so hydrophobic, that once it is in the bilayer, it will not partition out again.<ref name="Kubinyi_1979a">{{cite journal | vauthors = Kubinyi H | title = Nonlinear dependence of biological activity on hydrophobic character: the bilinear model | journal = Il Farmaco; Edizione Scientifica | volume = 34 | issue = 3 | pages = 248–76 | date = March 1979 | pmid = 43264 }}</ref><ref name="Kubinyi_1979b">{{cite journal | vauthors = Kubinyi H | title = Lipophilicity and biological activity. Drug transport and drug distribution in model systems and in biological systems | journal = Arzneimittel-Forschung | volume = 29 | issue = 8 | pages = 1067–80 | year = 1979 | pmid = 40579 }}</ref> Likewise, hydrophobicity plays a major role in determining where drugs are distributed within the body after absorption and, as a consequence, in how rapidly they are metabolized and excreted.

==== Pharmacodynamics ====
In the context of [[Chemistry:Pharmacodynamics|pharmacodynamics]] (how the drug affects the body), the [[Chemistry:Hydrophobic effect|hydrophobic effect]] is the major driving force for the binding of drugs to their [[Biology:Receptor (biochemistry)|receptor]] targets.<ref name="Eisenberg">{{cite journal | vauthors = Eisenberg D, McLachlan AD | title = Solvation energy in protein folding and binding | journal = Nature | volume = 319 | issue = 6050 | pages = 199–203 | year = 1986 | pmid = 3945310 | doi = 10.1038/319199a0 | bibcode = 1986Natur.319..199E | s2cid = 21867582 }}</ref><ref name="Miyamoto">{{cite journal | vauthors = Miyamoto S, Kollman PA | title = What determines the strength of noncovalent association of ligands to proteins in aqueous solution? | journal = Proceedings of the National Academy of Sciences of the United States of America | volume = 90 | issue = 18 | pages = 8402–6 | date = September 1993 | pmid = 8378312 | pmc = 47364 | doi = 10.1073/pnas.90.18.8402 | bibcode = 1993PNAS...90.8402M | doi-access = free }}</ref> On the other hand, hydrophobic drugs tend to be more toxic because they, in general, are retained longer, have a wider distribution within the body (e.g., [[Biology:Intracellular|intracellular]]), are somewhat less selective in their binding to proteins, and finally are often extensively metabolized. In some cases the metabolites may be chemically reactive. Hence it is advisable to make the drug as hydrophilic as possible while it still retains adequate binding affinity to the therapeutic protein target.<ref name="Pliska">{{cite book | vauthors = Pliska V, Testa B, Van De Waterbed H   |title = Lipophilicity in Drug Action and Toxicology |publisher = John Wiley & Sons Ltd. |year = 1996 |location = New York  |pages = 439 pages |isbn = 978-3-527-29383-4 }}</ref> For cases where a drug reaches its target locations through passive mechanisms (i.e., diffusion through membranes), the ideal distribution coefficient for the drug is typically intermediate in value (neither too lipophilic, nor too hydrophilic); in cases where molecules reach their targets otherwise, no such generalization applies.{{citation needed|date=March 2016}}

=== Environmental science ===
The hydrophobicity of a compound can give scientists an indication of how easily a compound might be taken up in groundwater to pollute waterways, and its toxicity to animals and aquatic life.<ref name="Cronin">{{cite journal | vauthors= Cronin D, Mark T | title = The Role of Hydrophobicity in Toxicity Prediction | journal = Current Computer-Aided Drug Design | volume = 2 | issue = 4 | pages = 405–413 | year = 2006 | doi = 10.2174/157340906778992346 }}</ref> Partition coefficient can also be used to predict the mobility of radionuclides in groundwater.<ref name="Heuel-Fabianek">{{cite journal | vauthors = Heuel-Fabianek B |title= Partition Coefficients (''K''<sub>d</sub>) for the Modelling of Transport Processes of Radionuclides in Groundwater | url = http://juser.fz-juelich.de/record/154001/files/FZJ-2014-03430.pdf |journal = Current Computer-Aided Drug Design | volume = 2 | issue = 4 | pages = 405–413 | year= 2006 | doi = 10.2174/157340906778992346 }}</ref> In the field of [[Earth:Hydrogeology|hydrogeology]], the [[Physics:Octanol-water partition coefficient|octanol–water partition coefficient]] ''K''<sub>ow</sub> is used to predict and model the migration of dissolved hydrophobic organic compounds in soil and groundwater.

=== Agrochemical research ===

Hydrophobic insecticides and herbicides tend to be more active. Hydrophobic agrochemicals in general have longer half-lives and therefore display increased risk of adverse environmental impact.<ref>{{cite journal | vauthors = Noble A | title = Partition coefficients (''n''-octanol—water) for pesticides | journal = Journal of Chromatography A | date = July 1993 | volume = 642 | issue = 1–2 | pages = 3–14 | doi = 10.1016/0021-9673(93)80072-G }}</ref>

=== Metallurgy ===
In [[Chemistry:Metallurgy|metallurgy]], the partition coefficient is an important factor in determining how different impurities are distributed between molten and solidified metal. It is a critical parameter for purification using [[Physics:Zone melting|zone melting]], and determines how effectively an impurity can be removed using directional solidification, described by the [[Scheil equation]].<ref name="StallmanSolidification"/>

=== Consumer product development ===
Many other industries take into account distribution coefficients, for example in the formulation of make-up, topical ointments, dyes, hair colors and many other consumer products.<ref>{{cite book | veditors = van Leeuwin CJ, Hermens JL | title = Risk Assessment of Chemicals: An Introduction | date = 2012 | publisher = Kluwer Acad. Publ. | location = Dordrecht | isbn = 978-0-7923-3740-9 | chapter-url = https://books.google.com/books?isbn=9401585202 | chapter = Transport, Accumulation and Transformation Processes (Ch. 3), Properties of Chemicals and Estimation Methodologies (Ch. 7), and Procedures of Hazard and Risk Assessment (Ch. 8) | pages = 37–102, and 239–338, esp. 39ff, 240ff, 306, and ''passim'' }}</ref>

== Measurement ==
A number of methods of measuring distribution coefficients have been developed, including the shake-flask, separating funnel method, reverse-phase HPLC, and pH-metric techniques.<ref name = "Comer_2001"/>{{rp|280}}

=== Separating-funnel method ===
In this method the solid particles present into the two immiscible liquids can be easily separated by suspending those solid particles directly into these immiscible or somewhat miscible liquids.

=== Shake flask-type ===
The classical and most reliable method of log ''P'' determination is the ''shake-flask method'', which consists of dissolving some of the solute in question in a volume of octanol and water, then measuring the concentration of the solute in each solvent.<ref name = "Dearden_1988">{{cite journal | vauthors = Dearden JC, Bresnan GM | title = The Measurement of Partition Coefficients | journal = Quantitative Structure-Activity Relationships | date = 1988 | volume = 7 | issue = 3 | pages = 133–144 | doi = 10.1002/qsar.19880070304 }}</ref><ref name = "Andrés_2015">{{cite journal | vauthors = Andrés A, Rosés M, Ràfols C, Bosch E, Espinosa S, Segarra V, Huerta JM | title = Setup and validation of shake-flask procedures for the determination of partition coefficients (log ''D'') from low drug amounts | journal = European Journal of Pharmaceutical Sciences | volume = 76 | pages = 181–91 | date = August 2015 | pmid = 25968358 | doi = 10.1016/j.ejps.2015.05.008 | hdl = 2445/143737 | hdl-access = free }}</ref> The most common method of measuring the distribution of the solute is by UV/VIS spectroscopy.<ref name = "Dearden_1988"/>

=== HPLC-based ===
A faster method of log ''P'' determination makes use of [[High-performance liquid chromatography|high-performance liquid chromatography]]. The log ''P'' of a solute can be determined by [[Correlation|correlating]] its retention time with similar compounds with known log ''P'' values.<ref name="pmid15214672">{{cite journal | vauthors = Valkó K | title = Application of high-performance liquid chromatography based measurements of lipophilicity to model biological distribution | journal = Journal of Chromatography A | volume = 1037 | issue = 1–2 | pages = 299–310 | date = May 2004 | pmid = 15214672 | doi = 10.1016/j.chroma.2003.10.084 }}</ref>

An advantage of this method is that it is fast (5–20 minutes per sample). However, since the value of log ''P'' is determined by [[Linear regression|linear regression]], several compounds with similar structures must have known log ''P'' values, and extrapolation from one chemical class to another—applying a regression equation derived from one chemical class to a second one—may not be reliable, since each chemical classes will have its characteristic [[Parameter|regression parameters]].{{citation needed|date=March 2016}}

=== pH-metric ===
The pH-metric set of techniques determine lipophilicity pH profiles directly from a single acid-base titration in a two-phase water–organic-solvent system.<ref name = "Comer_2001"/>{{rp|280–4}} Hence, a single experiment can be used to measure the logarithms of the partition coefficient (log ''P'') giving the distribution of molecules that are primarily neutral in charge, as well as the distribution coefficient (log ''D'') of all forms of the molecule over a pH range, e.g., between 2 and 12. The method does, however, require the separate determination of the pK<sub>a</sub> value(s) of the substance.

=== Electrochemical ===

Polarized liquid interfaces have been used to examine the thermodynamics and kinetics of the transfer of charged species from one phase to another. Two main methods exist. The first is [[Chemistry:ITIES|ITIES]], "interfaces between two immiscible electrolyte solutions".<ref name="pmid12948031">{{cite journal | vauthors = Ulmeanu SM, Jensen H, Bouchard G, Carrupt PA, Girault HH | title = Water-oil partition profiling of ionized drug molecules using cyclic voltammetry and a 96-well microfilter plate system | journal = Pharmaceutical Research | volume = 20 | issue = 8 | pages = 1317–22 | date = August 2003 | pmid = 12948031 | doi = 10.1023/A:1025025804196 | s2cid = 9917932 | url = http://infoscience.epfl.ch/record/269694/files/11095_2004_Article_468694.pdf }}</ref> The second is droplet experiments.<ref>{{Cite journal| vauthors = Scholz F, Komorsky-Lovrić Š, Lovrić M |date=February 2000|title=A new access to Gibbs energies of transfer of ions across liquid{{!}}liquid interfaces and a new method to study electrochemical processes at well-defined three-phase junctions|url=https://linkinghub.elsevier.com/retrieve/pii/S1388248199001563|journal=Electrochemistry Communications|language=en|volume=2|issue=2|pages=112–118|doi=10.1016/S1388-2481(99)00156-3}}</ref> Here a reaction at a triple interface between a conductive solid, droplets of a redox active liquid phase and an [[Physics:Electrolyte|electrolyte]] solution have been used to determine the energy required to transfer a charged species across the interface.<ref name="Bond_1994">{{cite journal | vauthors = Bond AM, Marken F | title = Mechanistic aspects of the electron and ion transport processes across the electrode | journal = Journal of Electroanalytical Chemistry | volume = 372 | issue = 1–2 | pages = 125–135 | year = 1994 | doi = 10.1016/0022-0728(93)03257-P }}</ref>

=== Single-cell approach ===

There are attempts to provide partition coefficients for drugs at a single-cell level.<ref>{{cite journal |title=Quantitative analysis of biochemical processes in living cells at a single-molecule level: a case of olaparib–PARP1 (DNA repair protein) interactions |journal=Analyst |date=2021 |doi=10.1039/D1AN01769A|last1=Karpińska |first1=Aneta |last2=Pilz |first2=Marta |last3=Buczkowska |first3=Joanna |last4=Żuk |first4=Paweł J. |last5=Kucharska |first5=Karolina |last6=Magiera |first6=Gaweł |last7=Kwapiszewska |first7=Karina |last8=Hołyst |first8=Robert |volume=146 |issue=23 |pages=7131–7143 |pmid=34726203 |s2cid=240110114 |url=https://eprints.lancs.ac.uk/id/eprint/161906/1/AN_ART_09_2021_001769.R1_Proof_hi.pdf }}</ref><ref name="karpinska">{{cite journal |title=Cellular Uptake of Bevacizumab in Cervical and Breast Cancer Cells Revealed by Single-Molecule Spectroscopy |journal=J. Phys. Chem. Lett. |date=2023 |doi=10.1021/acs.jpclett.2c03590|last1=Karpinska |first1=Aneta |last2=Magiera |first2=Gaweł |last3=Kwapiszewska |first3=Karina |last4=Hołyst |first4=Robert |volume=14 |issue=5 |pages=1272–1278 |pmid=36719904 |s2cid=256415374 |pmc=9923738 }}</ref> This strategy requires methods for the determination of concentrations in individual cells, i.e., with [[Fluorescence correlation spectroscopy]] or quantitative [[Image analysis]]. Partition coefficient at a single-cell level provides information on cellular uptake mechanism.<ref name="karpinska" />

== Prediction ==
There are many situations where prediction of partition coefficients prior to experimental measurement is useful. For example, tens of thousands of industrially manufactured chemicals are in common use, but only a small fraction have undergone rigorous [[Chemistry:Toxicology|toxicological]] evaluation. Hence there is a need to prioritize the remainder for testing. QSAR equations, which in turn are based on calculated partition coefficients, can be used to provide toxicity estimates.<ref name="Nieto-Draghi_2015"/><ref name="pmid19479008">{{cite journal | vauthors = Judson R, Richard A, Dix DJ, Houck K, Martin M, Kavlock R, Dellarco V, Henry T, Holderman T, Sayre P, Tan S, Carpenter T, Smith E | title = The toxicity data landscape for environmental chemicals | journal = Environmental Health Perspectives | volume = 117 | issue = 5 | pages = 685–95 | date = May 2009 | pmid = 19479008 | pmc = 2685828 | doi = 10.1289/ehp.0800168 }}</ref> Calculated partition coefficients are also widely used in drug discovery to optimize [[High-throughput screening|screening libraries]]<ref name="pmid11562252">{{cite journal | vauthors = Matter H, Baringhaus KH, Naumann T, Klabunde T, Pirard B | title = Computational approaches towards the rational design of drug-like compound libraries | journal = Combinatorial Chemistry & High Throughput Screening | volume = 4 | issue = 6 | pages = 453–75 | date = September 2001 | pmid = 11562252 | doi = 10.2174/1386207013330896 }}</ref><ref name="pmid16101415">{{cite journal | vauthors = Schuffenhauer A, Ruedisser S, Marzinzik AL, Jahnke W, Blommers M, Selzer P, Jacoby E | title = Library design for fragment based screening | journal = Current Topics in Medicinal Chemistry | volume = 5 | issue = 8 | pages = 751–62 | year = 2005 | pmid = 16101415 | doi = 10.2174/1568026054637700 }}</ref> and to predict [[Chemistry:Druglikeness|druglikeness]] of designed drug candidates before they are synthesized.<ref>{{cite journal | vauthors = Rutkowska E, Pajak K, Jóźwiak K | title = Lipophilicity--methods of determination and its role in medicinal chemistry | journal = Acta Poloniae Pharmaceutica | volume = 70 | issue = 1 | pages = 3–18 | year = 2013 | pmid = 23610954 | url = http://www.ptfarm.pl/pub/File/Acta_Poloniae/2013/1/003.pdf }}</ref> As discussed in more detail below, estimates of partition coefficients can be made using a variety of methods, including fragment-based, atom-based, and knowledge-based that rely solely on knowledge of the structure of the chemical. Other prediction methods rely on other experimental measurements such as solubility. The methods also differ in accuracy and whether they can be applied to all molecules, or only ones similar to molecules already studied.

===Atom-based===
Standard approaches of this type, using atomic contributions, have been named by those formulating them with a prefix letter: AlogP,<ref name="Ghose_1986"/> XlogP,<ref>{{cite journal | vauthors = Cheng T, Zhao Y, Li X, Lin F, Xu Y, Zhang X, Li Y, Wang R, Lai L | title = Computation of octanol-water partition coefficients by guiding an additive model with knowledge | journal = Journal of Chemical Information and Modeling | volume = 47 | issue = 6 | pages = 2140–8 | year = 2007 | pmid = 17985865 | doi = 10.1021/ci700257y | url = http://www.sioc-ccbg.ac.cn/?p=42&software=xlogp3 }}</ref> MlogP,<ref name="Moriguchi_1992"/> etc. A conventional method for predicting log ''P'' through this type of method is to parameterize the distribution coefficient contributions of various atoms to the overall molecular partition coefficient, which produces a [[Parametric model|parametric model]]. This parametric model can be estimated using constrained [[Least squares|least-squares]] [[Estimation theory|estimation]], using a training set of compounds with experimentally measured partition coefficients.<ref name="Ghose_1986">{{cite journal | vauthors = Ghose AK, Crippen GM | title = Atomic Physicochemical Parameters for Three-Dimensional Structure-Directed Quantitative Structure–Activity Relationships I. Partition Coefficients as a Measure of Hydrophobicity | journal= Journal of Computational Chemistry | volume= 7 | issue= 4 | pages = 565–577 | year= 1986 | doi = 10.1002/jcc.540070419  | hdl = 2027.42/38274 | s2cid = 4272062 | url = https://deepblue.lib.umich.edu/bitstream/2027.42/38274/1/540070419_ftp.pdf | hdl-access = free }}</ref><ref name="Moriguchi_1992">{{cite journal | vauthors = Moriguchi I, Hirono S, Liu Q, Nakagome I, Matsushita Y | title = Simple method of calculating octanol/water partition coefficient | journal = Chem. Pharm. Bull. | volume=40 | issue = 1 | pages = 127–130 | year = 1992 | doi = 10.1248/cpb.40.127 | doi-access = free }}</ref><ref name="Ghose_1998">{{cite journal | vauthors = Ghose AK, Viswanadhan VN, Wendoloski JJ | title = Prediction of Hydrophobic (Lipophilic) Properties of Small Organic Molecules Using Fragmental Methods: An Analysis of AlogP and ClogP Methods | journal = Journal of Physical Chemistry A | volume = 102 | issue = 21 | pages = 3762–3772 | year = 1998 | doi = 10.1021/jp980230o | bibcode = 1998JPCA..102.3762G }}</ref> In order to get reasonable correlations, the most common elements contained in drugs (hydrogen, carbon, oxygen, sulfur, nitrogen, and halogens) are divided into several different atom types depending on the environment of the atom within the molecule. While this method is generally the least accurate, the advantage is that it is the most general, being able to provide at least a rough estimate for a wide variety of molecules.<ref name="Moriguchi_1992"/>

===Fragment-based===
The most common of these uses a [[Physics:Group contribution method|group contribution method]] and is termed cLogP. It has been shown that the log ''P'' of a compound can be determined by the sum of its non-overlapping molecular fragments (defined as one or more atoms covalently bound to each other within the molecule). Fragmentary log ''P'' values have been determined in a statistical method analogous to the atomic methods (least-squares fitting to a training set). In addition, [[Hammett equation|Hammett-type corrections]] are included to account of [[Chemistry:Inductive effect|electronic]] and [[Chemistry:Steric effects|steric effects]]. This method in general gives better results than atomic-based methods, but cannot be used to predict partition coefficients for molecules containing unusual functional groups for which the method has not yet been parameterized (most likely because of the lack of experimental data for molecules containing such functional groups).<ref name="Hansch"/>{{rp|125ff}}<ref name="Leo2"/>{{rp|1–193}}

===Knowledge-based===
A typical data-mining-based prediction uses [[Support-vector machine|support-vector machine]]s,<ref name="pmid17031534">{{cite journal | vauthors = Liao Q, Yao J, Yuan S | title = SVM approach for predicting LogP | journal = Molecular Diversity | volume = 10 | issue = 3 | pages = 301–9 | date = August 2006 | pmid = 17031534 | doi = 10.1007/s11030-006-9036-2 | s2cid = 1196330 }}</ref> [[Decision tree learning|decision trees]], or [[Artificial neural network|neural networks]].<ref name="pmid15012980">{{cite journal | vauthors = Molnár L, Keseru GM, Papp A, Gulyás Z, Darvas F | title = A neural network based prediction of octanol-water partition coefficients using atomic5 fragmental descriptors | journal = Bioorganic & Medicinal Chemistry Letters | volume = 14 | issue = 4 | pages = 851–3 | date = February 2004 | pmid = 15012980 | doi = 10.1016/j.bmcl.2003.12.024 }}</ref> This method is usually very successful for calculating log ''P'' values when used with compounds that have similar chemical structures and known log ''P'' values. [[Chemistry:Molecule mining|Molecule mining]] approaches apply a similarity-matrix-based prediction or an automatic fragmentation scheme into molecular substructures. Furthermore, there exist also approaches using maximum common subgraph searches or [[Chemistry:Molecule mining|molecule kernels]].

===Log ''D'' from log ''P'' and p''K''<sub>a</sub>===
For cases where the molecule is un-ionized:<ref name="Scherrer"/><ref name="Manners_1998"/>
: <math>\log D \cong \log P.</math>

For other cases, estimation of log ''D'' at a given pH, from log ''P'' and the known [[Chemistry:Mole fraction|mole fraction]] of the un-ionized form, <math>f^0</math>, in the case where partition of [[Physics:Partition coefficient#Relationship to log P (logP)|ionized forms]] into non-polar phase can be neglected, can be formulated as<ref name="Scherrer"/><ref name="Manners_1998"/>
: <math>\log D \cong \log P + \log \left(f^0\right).</math>

The following approximate expressions are valid only for [[Chemistry:Acid dissociation constant|monoprotic acids and bases]]:<ref name="Scherrer">{{cite journal | vauthors = Scherrer RA, Howard SM | title = Use of distribution coefficients in quantitative structure-activity relationships | journal = Journal of Medicinal Chemistry | volume = 20 | issue = 1 | pages = 53–8 | date = January 1977 | pmid = 13215 | doi = 10.1021/jm00211a010 }}</ref><ref name="Manners_1998">{{cite journal | vauthors = Manners CN, Payling DW, Smith DA | title = Distribution coefficient, a convenient term for the relation of predictable physico-chemical properties to metabolic processes | journal = Xenobiotica; the Fate of Foreign Compounds in Biological Systems | volume = 18 | issue = 3 | pages = 331–50 | date = March 1988 | pmid = 3289270 | doi = 10.3109/00498258809041669 }}</ref>
: <math>\begin{align}
  \log D_\text{acids} &\cong \log P + \log\left[\frac{1}{1 + 10^{\mathrm{p}H - \mathrm{p}K_a}}\right], \\
  \log D_\text{bases} &\cong \log P + \log\left[\frac{1}{1 + 10^{\mathrm{p}K_a - \mathrm{pH}}}\right].
\end{align}</math>

Further approximations for when the compound is largely ionized:<ref name="Scherrer"/><ref name="Manners_1998"/>
* for acids with <math>\mathrm{pH} - \mathrm{p}K_a > 1</math>, <math>\log D_\text{acids} \cong \log P + \mathrm{p}K_a - \mathrm{pH}</math>,
* for bases with <math>\mathrm{p}K_a - \mathrm{pH} > 1</math>, <math>\log D_\text{bases} \cong \log P - \mathrm{p}K_a + \mathrm{pH}</math>.

For [[Chemistry:Acid dissociation constant#Prediction|prediction of p''K''<sub>a</sub>]], which in turn can be used to estimate log&nbsp;''D'', [[Hammett equation|Hammett type equations]] have frequently been applied.<ref name="Perrin">{{cite book | vauthors = Perrin DD, Dempsey B, Serjeant EP | title = pK<sub>a</sub> Prediction for Organic Acids and Bases | publisher = Chapman & Hall | year = 1981 | location = London | isbn = 978-0-412-22190-3 | doi = 10.1007/978-94-009-5883-8 | chapter = Chapter 3: Methods of pK<sub>a</sub> Prediction | pages = 21–26 }}</ref><ref name="RMC_2013">{{cite encyclopedia | vauthors = Fraczkiewicz R | encyclopedia = Reference Module in Chemistry, Molecular Sciences and Chemical Engineering [Online] | veditors = Reedijk J | volume = 5 | publisher = Elsevier | location = Amsterdam, the Netherlands | year = 2013 | doi = 10.1016/B978-0-12-409547-2.02610-X | title = Reference Module in Chemistry, Molecular Sciences and Chemical Engineering | isbn = 9780124095472 | chapter = In Silico Prediction of Ionization }}</ref>

===Log ''P'' from log ''S''===
If the solubility, ''S'', of an organic compound is known or predicted in both water and 1-octanol, then log&nbsp;''P'' can be estimated as<ref name="Nieto-Draghi_2015">{{cite journal | vauthors = Nieto-Draghi C, Fayet G, Creton B, Rozanska X, Rotureau P, de Hemptinne JC, Ungerer P, Rousseau B, Adamo C | title = A General Guidebook for the Theoretical Prediction of Physicochemical Properties of Chemicals for Regulatory Purposes | journal = Chemical Reviews | volume = 115 | issue = 24 | pages = 13093–164 | date = December 2015 | pmid = 26624238 | doi = 10.1021/acs.chemrev.5b00215 }}</ref><ref>{{cite journal | vauthors = Pinsuwan S, Li A, Yalkowsky SH | title = Correlation of Octanol/Water Solubility Ratios and Partition Coefficients | journal = Journal of Chemical & Engineering Data | date = May 1995 | volume = 40 | issue = 3 | pages = 623–626 | doi = 10.1021/je00019a019 }}</ref>
: <math>\log P = \log S_\text{o} - \log S_\text{w}.</math>
There are a variety of approaches to [[Chemistry:Solubility#Solubility prediction|predict solubilities]], and so log ''S''.<ref name="pmid21470182">{{cite journal | vauthors = Wang J, Hou T | title = Recent advances on aqueous solubility prediction | journal = Combinatorial Chemistry & High Throughput Screening | volume = 14 | issue = 5 | pages = 328–38 | date = June 2011 | pmid = 21470182 | doi = 10.2174/138620711795508331 }}</ref><ref name="pmid25660403">{{cite journal | vauthors = Skyner RE, McDonagh JL, Groom CR, van Mourik T, Mitchell JB | title = A review of methods for the calculation of solution free energies and the modelling of systems in solution | journal = Physical Chemistry Chemical Physics | volume = 17 | issue = 9 | pages = 6174–91 | date = March 2015 | pmid = 25660403 | doi = 10.1039/c5cp00288e | url = https://research-repository.st-andrews.ac.uk/bitstream/10023/6096/1/c5cp00288e.pdf | bibcode = 2015PCCP...17.6174S | doi-access = free }}</ref>

==Octanol-water partition coefficient==
{{main|Physics:Octanol-water partition coefficient}}

The partition coefficient between [[Chemistry:1-Octanol|''n''-Octanol]] and [[Chemistry:Water|water]] is known as the '''''n''-octanol-water partition coefficient''' , or ''K''<sub>ow</sub>.<ref>{{Cite book| vauthors = Sangster J |title=Octanol-water partition coefficients : fundamentals and physical chemistry|date=1997|publisher=Wiley|isbn=0-471-97397-1|location=Chichester|oclc=36430034}}</ref> It is also frequently referred to by the symbol P, especially in the English literature. It is also known as '''''n''-octanol-water partition ratio'''.<ref>{{Cite book| vauthors = Mackay D |url=https://www.worldcat.org/oclc/1182869019|title=Multimedia environmental models : the fugacity approach|date=2021|others=J. Mark Parnis|isbn=978-1-000-09499-2|edition=Third|location=Boca Raton, FL|oclc=1182869019|author-link=Donald Mackay (scientist)}}</ref><ref>{{Cite journal| vauthors = Hodges G, Eadsforth C, Bossuyt B, Bouvy A, Enrici MH, Geurts M, Kotthoff M, Michie E, Miller D, Müller J, Oetter G | display-authors = 6 |date=2019|title=A comparison of log Kow (n-octanol–water partition coefficient) values for non-ionic, anionic, cationic and amphoteric surfactants determined using predictions and experimental methods|journal=Environmental Sciences Europe|volume=31|issue=1|doi=10.1186/s12302-018-0176-7|doi-access=free}}</ref><ref>{{cite journal | vauthors = Hendriks AJ, van der Linde A, Cornelissen G, Sijm DT | title = The power of size. 1. Rate constants and equilibrium ratios for accumulation of organic substances related to octanol-water partition ratio and species weight | journal = Environmental Toxicology and Chemistry | volume = 20 | issue = 7 | pages = 1399–420 | date = July 2001 | doi = 10.1002/etc.5620200703 | pmid = 11434281 | s2cid = 25971836 }}</ref>

''K''<sub>ow</sub>, being a type of partition coefficient, serves as a measure of the relationship between [[Chemistry:Lipophilicity|lipophilicity]] (fat solubility) and [[Chemistry:Hydrophile|hydrophilicity]] (water solubility) of a substance. The value is greater than one if a substance is more soluble in fat-like solvents such as n-octanol, and less than one if it is more soluble in water.{{Citation needed|date=June 2021}}<!-- Text from directly transferring relevant information from Octanol-water partition coefficient article, add ref if text sourced there -->

=== Example values ===
Values for log ''K''<sub>ow</sub> typically range between -3 (very hydrophilic) and +10 (extremely lipophilic/hydrophobic).<ref name="pmid31457869">{{cite journal | vauthors = Cumming H, Rücker C | title = Octanol-Water Partition Coefficient Measurement by a Simple <sup>1</sup>H NMR Method | journal = ACS Omega | volume = 2 | issue = 9 | pages = 6244–6249 | date = September 2017 | pmid = 31457869 | pmc = 6644330 | doi = 10.1021/acsomega.7b01102 }}</ref>

The values listed here<ref>{{Cite web|title= Dortmund Data Bank (DDB) |url= http://www.ddbst.com/ | work = Dortmund Data Bank Software & Separation Technology (DDBST) GmbH |access-date=2020-05-20}}</ref> are sorted by the partition coefficient. Acetamide is hydrophilic, and 2,2′,4,4′,5-Pentachlorobiphenyl is lipophilic.
{| class="wikitable centered" style="text-align:center"
|+
!Substance
!log ''K''<sub>OW</sub>
!T
!Reference
|- 
|[[Chemistry:Acetamide|Acetamide]]
|−1.155
|25 °C
|
|- 
|[[Chemistry:Methanol|Methanol]]
|−0.824
|19 °C
|
|- 
|[[Chemistry:Formic acid|Formic acid]]
|−0.413
|25 °C
|
|- 
|[[Chemistry:Diethyl ether|Diethyl ether]]
|0.833
|20 °C
|
|- 
|[[Chemistry:1,4-Dichlorobenzene|''p''-Dichlorobenzene]]
|3.370
|25 °C
|
|- 
|[[Chemistry:Hexamethylbenzene|Hexamethylbenzene]]
|4.610
|25 °C
|
|- 
|2,2′,4,4′,5-Pentachlorobiphenyl
|6.410
|Ambient
|
|}

== See also ==
{{div col}}
* {{annotated link|Medicine:Blood–gas partition coefficient}}
* {{annotated link|Chemistry:Cheminformatics}}
** {{annotated link|Lipinski's rule of five}}
** {{annotated link|Chemistry:Lipophilic efficiency}}
* {{annotated link|Chemistry:Distribution law}}
* {{annotated link|Chemistry:ITIES}}
* {{annotated link|Chemistry:Ionic partition diagram}}
{{div col end}}

== References ==
{{Reflist|33em}}

== Further reading ==
{{Refbegin|33em}}
* {{cite journal | vauthors = Berthod A, Carda-Broch S | title = Determination of liquid-liquid partition coefficients by separation methods | journal = Journal of Chromatography A | volume = 1037 | issue = 1–2 | pages = 3–14 | date = May 2004 | pmid = 15214657 | doi = 10.1016/j.chroma.2004.01.001 | url = https://www.researchgate.net/publication/8492902 | department = (secondary) }}
* {{cite book | veditors = Testa B, van de Waterbed HM, Folkers G, Guy R | vauthors = Comer J, Tam K | title = Pharmacokinetic Optimization in Drug Research: Biological, Physicochemical, and Computational Strategies | url = https://archive.org/details/pharmokineticopt00test | url-access = limited | chapter = Lipophilicity Profiles: Theory and Measurement | date = 2001 | publisher = Wiley-VCH | location = Weinheim | isbn = 978-3-906390-22-2 | pages = [https://archive.org/details/pharmokineticopt00test/page/n7 275]–304 | doi = 10.1002/9783906390437.ch17 | department = (secondary) }}
* {{cite book | vauthors = Hansch C, Leo A | title = Substituent Constants for Correlation Analysis in Chemistry and Biology  |publisher = John Wiley & Sons Ltd. |year = 1979 |location = New York  |isbn = 978-0-471-05062-9 | department = (secondary) }}
* {{cite journal | vauthors = Hill AP, Young RJ | title = Getting physical in drug discovery: a contemporary perspective on solubility and hydrophobicity | journal = Drug Discovery Today | volume = 15 | issue = 15–16 | pages = 648–55 | date = August 2010 | pmid = 20570751 | doi = 10.1016/j.drudis.2010.05.016 | department = (secondary) }}
* {{cite journal | vauthors = Kah M, Brown CD | title = LogD: lipophilicity for ionisable compounds | journal = Chemosphere | volume = 72 | issue = 10 | pages = 1401–8 | date = August 2008 | pmid = 18565570 | doi = 10.1016/j.chemosphere.2008.04.074 | bibcode = 2008Chmsp..72.1401K | department = (secondary) }}
* {{cite journal | vauthors = Klopman G, Zhu H | title = Recent methodologies for the estimation of n-octanol/water partition coefficients and their use in the prediction of membrane transport properties of drugs | journal = Mini Reviews in Medicinal Chemistry | volume = 5 | issue = 2 | pages = 127–33 | date = February 2005 | pmid = 15720283 | doi = 10.2174/1389557053402765 | department = (secondary) }}
* {{cite journal | vauthors = Leo A, Hansch C, and Elkins D | title = Partition coefficients and their uses | journal = Chem Rev | volume = 71 | issue = 6 | pages = 525–616 | year = 1971 | doi = 10.1021/cr60274a001 | department = (secondary) }}
* {{cite book | vauthors = Leo A, Hoekman DH, Hansch C | title = Exploring QSAR, Hydrophobic, Electronic, and Steric Constants | url = https://archive.org/details/exploringqsar0001unse | url-access = registration | publisher = American Chemical Society |year = 1995 | location = Washington, DC |isbn = 978-0-8412-3060-6 | department = (secondary) }}
* {{cite journal | vauthors = Mannhold R, Poda GI, Ostermann C, Tetko IV | title = Calculation of molecular lipophilicity: State-of-the-art and comparison of log P methods on more than 96,000 compounds | journal = Journal of Pharmaceutical Sciences | volume = 98 | issue = 3 | pages = 861–93 | date = March 2009 | pmid = 18683876 | doi = 10.1002/jps.21494 | s2cid = 9595034 | department = (secondary) }}
* {{cite book | vauthors = Martin YC |  title = Quantitative Drug Design: A critical introduction | url = https://archive.org/details/quantitativedrug00mart | url-access = limited | chapter = Chapter 4: The Hydrophobic Properties of Molecules | pages = [https://archive.org/details/quantitativedrug00mart/page/n81 66]–73 | date=2010 | publisher=CRC Press/Taylor & Francis | location=Boca Raton | isbn = 978-1-4200-7099-6 | edition=2nd | department = (secondary)}}
* {{cite book | vauthors = Pandit NK | title = Introduction to the Pharmaceutical Sciences | date = 2007 | publisher = Lippincott Williams & Wilkins | location = Baltimore, MD | isbn = 978-0-7817-4478-2 | pages = [https://archive.org/details/introductiontoph0000pand/page/34 34–37] | edition = 1st | chapter = Chapter 3: Solubility and Lipophilicity | chapter-url = https://books.google.com/books?id=E-Pj1q1PX9cC&q=Partition+coefficient&pg=PA36 | department = (secondary) | url = https://archive.org/details/introductiontoph0000pand/page/34 }}
* {{cite book | vauthors = Pearlman RS, Dunn WJ, Block JH | title = Partition Coefficient: Determination and Estimation | date = 1986 | publisher = Pergamon Press | location = New York | isbn = 978-0-08-033649-7 | edition = 1st | department = (secondary) }}
* {{cite book | vauthors = Sangster J | title = Octanol-Water Partition Coefficients: Fundamentals and Physical Chemistry | volume = 2 | series = Wiley Series in Solution Chemistry |publisher=John Wiley & Sons Ltd. |year=1997 |location=Chichester |isbn=978-0-471-97397-3  | department = (secondary) }}
{{Refend}}

== External links ==
* [http://www.vcclab.org/online.html vcclab.org]. Overview of the many logP and other physical property calculators available commercially and on-line.
* [http://www.sioc-ccbg.ac.cn/skins/ccbgwebsite/software/xlogp3/ XLOGP3], a simple LogP estimater used by PubChem (release 2021.05.07) 

{{Chemical equilibria}}
{{chemical solutions}}

[[Category:Physical chemistry]]
[[Category:Equilibrium chemistry]]
[[Category:Medicinal chemistry]]
[[Category:Solvents]]

{{Sourceattribution|Partition coefficient}}