SlideShare a Scribd company logo
1 of 8
DENATURATION
AND
RENATURATION
Denaturation and Renaturation
•Heating double stranded DNA can overcome the hydrogen
bonds holding it together and cause the strands to separate
resulting in denaturation of the DNA
•When cooled relatively weak hydrogen bonds between
bases can reform and the DNA renatures
TACTCGACATGCTAGCAC
ATGAGCTGTACGATCGTG
Double stranded DNA
TACTCGACATGCTAGCAC
ATGAGCTGTACGATCGTG
Double stranded DNA
TACTCGACATGCTAGCAC
ATGAGCTGTACGATCGTG
Denatured DNA
Single stranded DNA
Denaturation and Renaturation
•DNA with a high guanine and cytosine content has
relatively more hydrogen bonds between strands
• higher GC content is reflected in higher melting or
denaturation temperature
Intermediate melting temperature
Low melting temperature
High melting temperature
67 % GC content -
TGCTCGACGTGCTCG
ACGAGCTGCACGAGC
33 % GC content -
TACTAGACATTCTAG
ATGATCTGTAAGATC
TACTCGACAGGCTAG
ATGAGCTGTCCGATC
50 % GC content -
Determination of GC Content
OD260
0
1.0
65 70 75 80 85 90 95
Temperature (oC)
Tm = 85 oC
Tm = 75 oC
Double
stranded DNA
Single
stranded
DNA
Relatively low
GC content
Relatively high
GC content
Tm is the
temperature at
which half the
DNA is melted
DNA Renaturation
Cot curve
•Cot curve is concerned with the measurement of
the degree of re-annealing of DNA strands.
• It is a curve drawn with X-axis having DNA
concentration unit multiplied by time.
•The initial concentration is considered
represented as Co and when multiplied with time t,
it becomes "Cot" and the graph is known as Cot
curve.
• The graph is drawn against % re-annealed versus
Cot.
Reassociation Kinetics
•The following equation describes the second order
rate kinetics of DNA reassociation:
Concentration of single
stranded DNA after
time t
Initial concentration of
single stranded DNA
Second order rate
constant (the
important thing is that
it is a constant)
Co (measured in moles/liter)
x t (seconds). Generally
graphed on a log10 scale.
Cot1/2 is the point at which half
the initial concentration of single
stranded DNA has annealed to
form double-stranded DNA
1
1+kCot
=
C
Co
Reassociation Kinetics
Fraction
remaining
single-
stranded
(C/Co)
0
0.5
10-4 10-3 10-2 10-1 1 101 102 103 104
Cot (mole x sec./l)
1.0
Higher Cot1/2
values indicate
greater
genome
complexity
Cot1/2

More Related Content

What's hot (20)

Eukaryotic chromosomal organization
Eukaryotic chromosomal organizationEukaryotic chromosomal organization
Eukaryotic chromosomal organization
 
Transcription
TranscriptionTranscription
Transcription
 
DNA damage repair
DNA damage repairDNA damage repair
DNA damage repair
 
Wobble hypothesis AND new genetic code
Wobble hypothesis AND new genetic codeWobble hypothesis AND new genetic code
Wobble hypothesis AND new genetic code
 
MODELS OF REPLICATION
MODELS OF REPLICATIONMODELS OF REPLICATION
MODELS OF REPLICATION
 
Transfer rna final
Transfer rna finalTransfer rna final
Transfer rna final
 
DNA organization in Eukaryotic cells
DNA organization in Eukaryotic cellsDNA organization in Eukaryotic cells
DNA organization in Eukaryotic cells
 
Dna repair mechanisms
Dna repair mechanismsDna repair mechanisms
Dna repair mechanisms
 
Presentation on DNA structure and Chemical Compositions
Presentation on DNA structure and Chemical CompositionsPresentation on DNA structure and Chemical Compositions
Presentation on DNA structure and Chemical Compositions
 
Dna replication in prokaryotes
Dna replication in prokaryotesDna replication in prokaryotes
Dna replication in prokaryotes
 
Rna structure
Rna structureRna structure
Rna structure
 
Translation in eukaryotes
Translation in eukaryotesTranslation in eukaryotes
Translation in eukaryotes
 
Lac operon
Lac operonLac operon
Lac operon
 
Dna replication in eukaryotes
Dna replication in eukaryotesDna replication in eukaryotes
Dna replication in eukaryotes
 
Dna packaging
Dna packagingDna packaging
Dna packaging
 
Telomerase
TelomeraseTelomerase
Telomerase
 
Chromatin structure
Chromatin structureChromatin structure
Chromatin structure
 
Enzymes and proteins in dna replication
Enzymes and proteins in dna replicationEnzymes and proteins in dna replication
Enzymes and proteins in dna replication
 
Transcription factors
Transcription factorsTranscription factors
Transcription factors
 
5’ capping
5’ capping5’ capping
5’ capping
 

Similar to de and renaturation of dna.ppt

2. Properties of DNA bjjjjbjjjjjjjj.pptx
2. Properties of DNA bjjjjbjjjjjjjj.pptx2. Properties of DNA bjjjjbjjjjjjjj.pptx
2. Properties of DNA bjjjjbjjjjjjjj.pptxAroojSheikh12
 
PCR.seminar.pptx
PCR.seminar.pptxPCR.seminar.pptx
PCR.seminar.pptxAsif Shaikh
 
Gene cloning and polymerase chain reaction
Gene cloning and polymerase chain reaction Gene cloning and polymerase chain reaction
Gene cloning and polymerase chain reaction Abhay jha
 
Properties of DNA.pptx
Properties of DNA.pptxProperties of DNA.pptx
Properties of DNA.pptxRagavi32
 
Gene sequencing methods
Gene sequencing methodsGene sequencing methods
Gene sequencing methodsDeepak Kumar
 
Pcr primer design
Pcr primer designPcr primer design
Pcr primer designuog
 
nucleic acid structure.pdf
nucleic acid structure.pdfnucleic acid structure.pdf
nucleic acid structure.pdfNetHelix
 
Polymerase Chain Reaction
Polymerase Chain ReactionPolymerase Chain Reaction
Polymerase Chain Reactionallyjer
 
DNA Sequencing.ppt
DNA Sequencing.pptDNA Sequencing.ppt
DNA Sequencing.pptBLACKYT12
 
DNA Sequencing.ppt
DNA Sequencing.pptDNA Sequencing.ppt
DNA Sequencing.pptKashiAli7
 
Physiochemical properties of dna
Physiochemical properties of dnaPhysiochemical properties of dna
Physiochemical properties of dnakessiyaTpeter
 
Polymerase chain reaction(PCR)
Polymerase chain reaction(PCR)Polymerase chain reaction(PCR)
Polymerase chain reaction(PCR)Aayan Gurung
 
Polymerase chain reaction(PCR)
Polymerase chain reaction(PCR)Polymerase chain reaction(PCR)
Polymerase chain reaction(PCR)Aayan Gurung
 
Dna denaturation and renaturation
Dna denaturation and renaturationDna denaturation and renaturation
Dna denaturation and renaturationramkumarlodhi3
 

Similar to de and renaturation of dna.ppt (18)

2. Properties of DNA bjjjjbjjjjjjjj.pptx
2. Properties of DNA bjjjjbjjjjjjjj.pptx2. Properties of DNA bjjjjbjjjjjjjj.pptx
2. Properties of DNA bjjjjbjjjjjjjj.pptx
 
PCR.seminar.pptx
PCR.seminar.pptxPCR.seminar.pptx
PCR.seminar.pptx
 
Gene cloning and polymerase chain reaction
Gene cloning and polymerase chain reaction Gene cloning and polymerase chain reaction
Gene cloning and polymerase chain reaction
 
Properties of DNA.pptx
Properties of DNA.pptxProperties of DNA.pptx
Properties of DNA.pptx
 
Gene sequencing methods
Gene sequencing methodsGene sequencing methods
Gene sequencing methods
 
Pcr
PcrPcr
Pcr
 
Pcr primer design
Pcr primer designPcr primer design
Pcr primer design
 
nucleic acid structure.pdf
nucleic acid structure.pdfnucleic acid structure.pdf
nucleic acid structure.pdf
 
Polymerase Chain Reaction
Polymerase Chain ReactionPolymerase Chain Reaction
Polymerase Chain Reaction
 
Polymerase Chain Reaction
Polymerase Chain ReactionPolymerase Chain Reaction
Polymerase Chain Reaction
 
DNA Sequencing.ppt
DNA Sequencing.pptDNA Sequencing.ppt
DNA Sequencing.ppt
 
DNA Sequencing.ppt
DNA Sequencing.pptDNA Sequencing.ppt
DNA Sequencing.ppt
 
Pcr
PcrPcr
Pcr
 
Physiochemical properties of dna
Physiochemical properties of dnaPhysiochemical properties of dna
Physiochemical properties of dna
 
Polymerase chain reaction
Polymerase chain reactionPolymerase chain reaction
Polymerase chain reaction
 
Polymerase chain reaction(PCR)
Polymerase chain reaction(PCR)Polymerase chain reaction(PCR)
Polymerase chain reaction(PCR)
 
Polymerase chain reaction(PCR)
Polymerase chain reaction(PCR)Polymerase chain reaction(PCR)
Polymerase chain reaction(PCR)
 
Dna denaturation and renaturation
Dna denaturation and renaturationDna denaturation and renaturation
Dna denaturation and renaturation
 

More from Pudhuvai Baveesh (20)

Brinjal.pptx
Brinjal.pptxBrinjal.pptx
Brinjal.pptx
 
pests on millet.pptx
pests on millet.pptxpests on millet.pptx
pests on millet.pptx
 
Linkage and Recombination.ppt
Linkage and Recombination.pptLinkage and Recombination.ppt
Linkage and Recombination.ppt
 
Genetic mapping.ppt
Genetic mapping.pptGenetic mapping.ppt
Genetic mapping.ppt
 
mendelian genetics.ppt
mendelian genetics.pptmendelian genetics.ppt
mendelian genetics.ppt
 
DNA damage.ppt
DNA damage.pptDNA damage.ppt
DNA damage.ppt
 
GENETIC CODONS.ppt
GENETIC CODONS.pptGENETIC CODONS.ppt
GENETIC CODONS.ppt
 
viral dna.ppt
viral dna.pptviral dna.ppt
viral dna.ppt
 
F-NUCLEOSOMES.ppt
F-NUCLEOSOMES.pptF-NUCLEOSOMES.ppt
F-NUCLEOSOMES.ppt
 
lampbrush chr.ppt
lampbrush chr.pptlampbrush chr.ppt
lampbrush chr.ppt
 
polyploidy ..ppt
polyploidy ..pptpolyploidy ..ppt
polyploidy ..ppt
 
Micro RNA.ppt
Micro RNA.pptMicro RNA.ppt
Micro RNA.ppt
 
stress proteins and cancer.ppt
stress proteins and cancer.pptstress proteins and cancer.ppt
stress proteins and cancer.ppt
 
DNA Structure.ppt
DNA Structure.pptDNA Structure.ppt
DNA Structure.ppt
 
self incompatability.ppt
self incompatability.pptself incompatability.ppt
self incompatability.ppt
 
modes of reproduction and apomixis.ppt
modes of reproduction and apomixis.pptmodes of reproduction and apomixis.ppt
modes of reproduction and apomixis.ppt
 
Introduction to Genetics.ppt
Introduction to Genetics.pptIntroduction to Genetics.ppt
Introduction to Genetics.ppt
 
plant breeding.ppt
plant breeding.pptplant breeding.ppt
plant breeding.ppt
 
inheritance autosomal and sex linked.ppt
inheritance  autosomal and sex linked.pptinheritance  autosomal and sex linked.ppt
inheritance autosomal and sex linked.ppt
 
sex determination.ppt
 sex determination.ppt sex determination.ppt
sex determination.ppt
 

Recently uploaded

Isotopic evidence of long-lived volcanism on Io
Isotopic evidence of long-lived volcanism on IoIsotopic evidence of long-lived volcanism on Io
Isotopic evidence of long-lived volcanism on IoSérgio Sacani
 
Formation of low mass protostars and their circumstellar disks
Formation of low mass protostars and their circumstellar disksFormation of low mass protostars and their circumstellar disks
Formation of low mass protostars and their circumstellar disksSérgio Sacani
 
Call Us ≽ 9953322196 ≼ Call Girls In Mukherjee Nagar(Delhi) |
Call Us ≽ 9953322196 ≼ Call Girls In Mukherjee Nagar(Delhi) |Call Us ≽ 9953322196 ≼ Call Girls In Mukherjee Nagar(Delhi) |
Call Us ≽ 9953322196 ≼ Call Girls In Mukherjee Nagar(Delhi) |aasikanpl
 
Disentangling the origin of chemical differences using GHOST
Disentangling the origin of chemical differences using GHOSTDisentangling the origin of chemical differences using GHOST
Disentangling the origin of chemical differences using GHOSTSérgio Sacani
 
Raman spectroscopy.pptx M Pharm, M Sc, Advanced Spectral Analysis
Raman spectroscopy.pptx M Pharm, M Sc, Advanced Spectral AnalysisRaman spectroscopy.pptx M Pharm, M Sc, Advanced Spectral Analysis
Raman spectroscopy.pptx M Pharm, M Sc, Advanced Spectral AnalysisDiwakar Mishra
 
CALL ON ➥8923113531 🔝Call Girls Kesar Bagh Lucknow best Night Fun service 🪡
CALL ON ➥8923113531 🔝Call Girls Kesar Bagh Lucknow best Night Fun service  🪡CALL ON ➥8923113531 🔝Call Girls Kesar Bagh Lucknow best Night Fun service  🪡
CALL ON ➥8923113531 🔝Call Girls Kesar Bagh Lucknow best Night Fun service 🪡anilsa9823
 
Call Girls in Munirka Delhi 💯Call Us 🔝9953322196🔝 💯Escort.
Call Girls in Munirka Delhi 💯Call Us 🔝9953322196🔝 💯Escort.Call Girls in Munirka Delhi 💯Call Us 🔝9953322196🔝 💯Escort.
Call Girls in Munirka Delhi 💯Call Us 🔝9953322196🔝 💯Escort.aasikanpl
 
Animal Communication- Auditory and Visual.pptx
Animal Communication- Auditory and Visual.pptxAnimal Communication- Auditory and Visual.pptx
Animal Communication- Auditory and Visual.pptxUmerFayaz5
 
PossibleEoarcheanRecordsoftheGeomagneticFieldPreservedintheIsuaSupracrustalBe...
PossibleEoarcheanRecordsoftheGeomagneticFieldPreservedintheIsuaSupracrustalBe...PossibleEoarcheanRecordsoftheGeomagneticFieldPreservedintheIsuaSupracrustalBe...
PossibleEoarcheanRecordsoftheGeomagneticFieldPreservedintheIsuaSupracrustalBe...Sérgio Sacani
 
Recombination DNA Technology (Nucleic Acid Hybridization )
Recombination DNA Technology (Nucleic Acid Hybridization )Recombination DNA Technology (Nucleic Acid Hybridization )
Recombination DNA Technology (Nucleic Acid Hybridization )aarthirajkumar25
 
Biological Classification BioHack (3).pdf
Biological Classification BioHack (3).pdfBiological Classification BioHack (3).pdf
Biological Classification BioHack (3).pdfmuntazimhurra
 
Types of different blotting techniques.pptx
Types of different blotting techniques.pptxTypes of different blotting techniques.pptx
Types of different blotting techniques.pptxkhadijarafiq2012
 
Physiochemical properties of nanomaterials and its nanotoxicity.pptx
Physiochemical properties of nanomaterials and its nanotoxicity.pptxPhysiochemical properties of nanomaterials and its nanotoxicity.pptx
Physiochemical properties of nanomaterials and its nanotoxicity.pptxAArockiyaNisha
 
Work, Energy and Power for class 10 ICSE Physics
Work, Energy and Power for class 10 ICSE PhysicsWork, Energy and Power for class 10 ICSE Physics
Work, Energy and Power for class 10 ICSE Physicsvishikhakeshava1
 
Grafana in space: Monitoring Japan's SLIM moon lander in real time
Grafana in space: Monitoring Japan's SLIM moon lander  in real timeGrafana in space: Monitoring Japan's SLIM moon lander  in real time
Grafana in space: Monitoring Japan's SLIM moon lander in real timeSatoshi NAKAHIRA
 
Recombinant DNA technology (Immunological screening)
Recombinant DNA technology (Immunological screening)Recombinant DNA technology (Immunological screening)
Recombinant DNA technology (Immunological screening)PraveenaKalaiselvan1
 
Nightside clouds and disequilibrium chemistry on the hot Jupiter WASP-43b
Nightside clouds and disequilibrium chemistry on the hot Jupiter WASP-43bNightside clouds and disequilibrium chemistry on the hot Jupiter WASP-43b
Nightside clouds and disequilibrium chemistry on the hot Jupiter WASP-43bSérgio Sacani
 
Cultivation of KODO MILLET . made by Ghanshyam pptx
Cultivation of KODO MILLET . made by Ghanshyam pptxCultivation of KODO MILLET . made by Ghanshyam pptx
Cultivation of KODO MILLET . made by Ghanshyam pptxpradhanghanshyam7136
 

Recently uploaded (20)

Isotopic evidence of long-lived volcanism on Io
Isotopic evidence of long-lived volcanism on IoIsotopic evidence of long-lived volcanism on Io
Isotopic evidence of long-lived volcanism on Io
 
Formation of low mass protostars and their circumstellar disks
Formation of low mass protostars and their circumstellar disksFormation of low mass protostars and their circumstellar disks
Formation of low mass protostars and their circumstellar disks
 
Call Us ≽ 9953322196 ≼ Call Girls In Mukherjee Nagar(Delhi) |
Call Us ≽ 9953322196 ≼ Call Girls In Mukherjee Nagar(Delhi) |Call Us ≽ 9953322196 ≼ Call Girls In Mukherjee Nagar(Delhi) |
Call Us ≽ 9953322196 ≼ Call Girls In Mukherjee Nagar(Delhi) |
 
Disentangling the origin of chemical differences using GHOST
Disentangling the origin of chemical differences using GHOSTDisentangling the origin of chemical differences using GHOST
Disentangling the origin of chemical differences using GHOST
 
Raman spectroscopy.pptx M Pharm, M Sc, Advanced Spectral Analysis
Raman spectroscopy.pptx M Pharm, M Sc, Advanced Spectral AnalysisRaman spectroscopy.pptx M Pharm, M Sc, Advanced Spectral Analysis
Raman spectroscopy.pptx M Pharm, M Sc, Advanced Spectral Analysis
 
The Philosophy of Science
The Philosophy of ScienceThe Philosophy of Science
The Philosophy of Science
 
CALL ON ➥8923113531 🔝Call Girls Kesar Bagh Lucknow best Night Fun service 🪡
CALL ON ➥8923113531 🔝Call Girls Kesar Bagh Lucknow best Night Fun service  🪡CALL ON ➥8923113531 🔝Call Girls Kesar Bagh Lucknow best Night Fun service  🪡
CALL ON ➥8923113531 🔝Call Girls Kesar Bagh Lucknow best Night Fun service 🪡
 
Call Girls in Munirka Delhi 💯Call Us 🔝9953322196🔝 💯Escort.
Call Girls in Munirka Delhi 💯Call Us 🔝9953322196🔝 💯Escort.Call Girls in Munirka Delhi 💯Call Us 🔝9953322196🔝 💯Escort.
Call Girls in Munirka Delhi 💯Call Us 🔝9953322196🔝 💯Escort.
 
Animal Communication- Auditory and Visual.pptx
Animal Communication- Auditory and Visual.pptxAnimal Communication- Auditory and Visual.pptx
Animal Communication- Auditory and Visual.pptx
 
CELL -Structural and Functional unit of life.pdf
CELL -Structural and Functional unit of life.pdfCELL -Structural and Functional unit of life.pdf
CELL -Structural and Functional unit of life.pdf
 
PossibleEoarcheanRecordsoftheGeomagneticFieldPreservedintheIsuaSupracrustalBe...
PossibleEoarcheanRecordsoftheGeomagneticFieldPreservedintheIsuaSupracrustalBe...PossibleEoarcheanRecordsoftheGeomagneticFieldPreservedintheIsuaSupracrustalBe...
PossibleEoarcheanRecordsoftheGeomagneticFieldPreservedintheIsuaSupracrustalBe...
 
Recombination DNA Technology (Nucleic Acid Hybridization )
Recombination DNA Technology (Nucleic Acid Hybridization )Recombination DNA Technology (Nucleic Acid Hybridization )
Recombination DNA Technology (Nucleic Acid Hybridization )
 
Biological Classification BioHack (3).pdf
Biological Classification BioHack (3).pdfBiological Classification BioHack (3).pdf
Biological Classification BioHack (3).pdf
 
Types of different blotting techniques.pptx
Types of different blotting techniques.pptxTypes of different blotting techniques.pptx
Types of different blotting techniques.pptx
 
Physiochemical properties of nanomaterials and its nanotoxicity.pptx
Physiochemical properties of nanomaterials and its nanotoxicity.pptxPhysiochemical properties of nanomaterials and its nanotoxicity.pptx
Physiochemical properties of nanomaterials and its nanotoxicity.pptx
 
Work, Energy and Power for class 10 ICSE Physics
Work, Energy and Power for class 10 ICSE PhysicsWork, Energy and Power for class 10 ICSE Physics
Work, Energy and Power for class 10 ICSE Physics
 
Grafana in space: Monitoring Japan's SLIM moon lander in real time
Grafana in space: Monitoring Japan's SLIM moon lander  in real timeGrafana in space: Monitoring Japan's SLIM moon lander  in real time
Grafana in space: Monitoring Japan's SLIM moon lander in real time
 
Recombinant DNA technology (Immunological screening)
Recombinant DNA technology (Immunological screening)Recombinant DNA technology (Immunological screening)
Recombinant DNA technology (Immunological screening)
 
Nightside clouds and disequilibrium chemistry on the hot Jupiter WASP-43b
Nightside clouds and disequilibrium chemistry on the hot Jupiter WASP-43bNightside clouds and disequilibrium chemistry on the hot Jupiter WASP-43b
Nightside clouds and disequilibrium chemistry on the hot Jupiter WASP-43b
 
Cultivation of KODO MILLET . made by Ghanshyam pptx
Cultivation of KODO MILLET . made by Ghanshyam pptxCultivation of KODO MILLET . made by Ghanshyam pptx
Cultivation of KODO MILLET . made by Ghanshyam pptx
 

de and renaturation of dna.ppt

  • 2. Denaturation and Renaturation •Heating double stranded DNA can overcome the hydrogen bonds holding it together and cause the strands to separate resulting in denaturation of the DNA •When cooled relatively weak hydrogen bonds between bases can reform and the DNA renatures TACTCGACATGCTAGCAC ATGAGCTGTACGATCGTG Double stranded DNA TACTCGACATGCTAGCAC ATGAGCTGTACGATCGTG Double stranded DNA TACTCGACATGCTAGCAC ATGAGCTGTACGATCGTG Denatured DNA Single stranded DNA
  • 3. Denaturation and Renaturation •DNA with a high guanine and cytosine content has relatively more hydrogen bonds between strands • higher GC content is reflected in higher melting or denaturation temperature Intermediate melting temperature Low melting temperature High melting temperature 67 % GC content - TGCTCGACGTGCTCG ACGAGCTGCACGAGC 33 % GC content - TACTAGACATTCTAG ATGATCTGTAAGATC TACTCGACAGGCTAG ATGAGCTGTCCGATC 50 % GC content -
  • 4. Determination of GC Content OD260 0 1.0 65 70 75 80 85 90 95 Temperature (oC) Tm = 85 oC Tm = 75 oC Double stranded DNA Single stranded DNA Relatively low GC content Relatively high GC content Tm is the temperature at which half the DNA is melted
  • 6. Cot curve •Cot curve is concerned with the measurement of the degree of re-annealing of DNA strands. • It is a curve drawn with X-axis having DNA concentration unit multiplied by time. •The initial concentration is considered represented as Co and when multiplied with time t, it becomes "Cot" and the graph is known as Cot curve. • The graph is drawn against % re-annealed versus Cot.
  • 7. Reassociation Kinetics •The following equation describes the second order rate kinetics of DNA reassociation: Concentration of single stranded DNA after time t Initial concentration of single stranded DNA Second order rate constant (the important thing is that it is a constant) Co (measured in moles/liter) x t (seconds). Generally graphed on a log10 scale. Cot1/2 is the point at which half the initial concentration of single stranded DNA has annealed to form double-stranded DNA 1 1+kCot = C Co
  • 8. Reassociation Kinetics Fraction remaining single- stranded (C/Co) 0 0.5 10-4 10-3 10-2 10-1 1 101 102 103 104 Cot (mole x sec./l) 1.0 Higher Cot1/2 values indicate greater genome complexity Cot1/2

Editor's Notes

  1. For those really interested in the k constant: k = Pe-Q/kT Where: P = e = base o the natural log (ln) = 2.7183 Q = K = the Boltzmann constant = 1.308 jouls/degree K