Structure of DNA Flashcards
Which of the fundamental forces is most important at biological scales?
-when considering biological molecules, electrostatic force is the most important
F = -Q1Q2/4πεr²
-where
ε = εoεr
Derive the Expression for Intermolecular Forces
-intermolecular forces need to have more rapid decay lengths than just an electrostatic force
-guess a general attractive interactive potential:
V(r) = -Cm1m2/r^n
=>
F(r) = -dV/dr = -nCm1m2/r^(n+1)
-for discrete molecular masses m1 and m2
-change from discrete masses to a continuum with density ρ
-the continuum shell radius L»_space; central molecular diameter σ
-so σ/L«1 => long range interactions can only disappear for n>3
Lennard-Jones Type Potentials
-the equilibrium position of two molecules is at the minimum of the W(r) curve which is at the equilibrium separation
F(r) = -dW/dr
-negative energy means an attractive force, positive energy means a repulsive force
-Fmax at the minimum of the F(r) curve
Lennard-Jones Potential
General Form
V(r) = -A/r^6 + B/r^12
Attractive Forces
-london dispersion and van der Waals forces (time dependent electron density)
Repulsive Forces
-pauli exclusion principle (quantum mechanical effect)
Mie Potential
General Form
V(r) = -A/r^n + B/r^m
Life in a Thermal Bath
-for mammalian life, T=37’C
kbT = 4.278pNnm
-so molecular motors (protein enzymes) must generate >4pn of force to travel 1nm
Equipartition Theorem
-each mode of translation/vibration has kbT/2 of energy
-in 1D systems
–for a fluid:
1/2 m v² = 1/2 kb T
–for a solid:
1/2 k = 1/2 kb T
X-ray Fibre Diffraction of DNA
- DNA extracted from cellular material by alcohol precipitation and aligned into a fibre containing millions of aligned DNA molecules
- vertical repeats (n=1,2,3,etc.) in the x-ray image is the separation of the base pairs
- characteristic X shape of image due to the helicity of the molecule
Structure of DNA
- right-handed screw
- base pairs
- -two hydrogen bonds between thymine and adenine
- -three hydrogen bonds between cytosine and guanine
Effect of Hydration on DNA
- the A-form of DNA is double stranded and dehydrated
- the B-form of DNA is double stranded and hydrated
Nucleotide Monomer
-sugar, phosphate and base
Sugar Phosphate Backbone
- staircase structure
- sugar of one nucleotide is bonded to the phosphate on the next nucleotide
Structure of Nucleic Acids
Sugar Ring
-proton donor from OH groups, gives acidic properties