Discussion
Halving a quantum dot's diameter, with confinement energy varying as the inverse square of the size, multiplies that energy by
Answer: A
Correct answer: 4
With \( E \propto 1/d^2 \), halving the diameter multiplies the confinement energy by \[ \left(\frac{1}{1/2}\right)^2 = 4. \] This is why quantum dot emission is so sensitive to size: a modest change in diameter moves the band gap enough to shift the colour visibly, which is the basis of tunable dot phosphors.
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