= Solution
Set $\lambda\simeq d$ with the convention of part <S3/1/b>. Then
$$
\boxed{T_e\simeq\frac{h^2}{m_ek_Bd^2}\simeq3.9\times10^5\,\mathrm K.}
$$
Thus ordinary solid-state <temperatures> are far below this rough overlap scale. The <electrons> need <quantum statistics> and <quantum states> throughout that regime. The number is an order-of-magnitude wavelength criterion, not an exact <Fermi temperature>: <electron> <density>, <electronic band structure>, <effective mass> and the numerical convention all matter.
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