Question

determine that the maximum wavelength of the photon required to break up a copper pair in tin is 1.08 x 10-3 m , calculate the energy gap

Answer 1

Answer on Question #73575, Physics / Atomic and Nuclear Physics

determine that the maximum wavelength of the photon required to break up a copper pair in tin is $1.08 \times 10^{-3} \, \text{m}$, calculate the energy gap.

Solution:

The Cooper pair binding energy, or energy gap, is $E_g$.

The energy is

$$E_g = h\nu = \frac{hc}{\lambda}$$

So,

$$\begin{array}{l} E_g = \frac{6.63 \times 10^{-34} \times 3 \times 10^8}{1.08 \times 10^{-3}} = 1.84 \times 10^{-22} \, \text{Joule} = \\ = 1.84 \times 10^{-22} \times 6.24 \times 10^{18} \, \text{eV} = 1.15 \times 10^{-3} \, \text{eV} \end{array}$$

Answer: $1.15 \times 10^{-3} \, \text{eV}$

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