What is the Spring Constant of a DNA Molecule?

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The discussion centers on calculating the spring constant of a DNA molecule segment measuring 1.6 μm in length. When one end of the DNA becomes ionized, it compresses by 1.10% of its original length due to the electrostatic attraction between the charged ends. The effective spring constant can be determined using the formula for spring constant, factoring in the compression and the force of attraction. This analysis highlights the mechanical properties of DNA and its behavior under ionic conditions. Understanding the spring constant is crucial for insights into DNA's structural dynamics and interactions.
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Consider a segment of a molecule of DNA that is a coil with an overall length of 1.6 μm. If the end of the molecule become singly ionized (one end loosing a single electron and the other end gaining a single electron) the helical molecule acts like a spring and compresses 1.10% of its original length. Determine the effective spring constant of the molecule.
 
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Consider the force of attraction between the two molecules. This should be enough to move forward.
 
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