- (a) Find the value of the Bohr radius aB=ħ^2 / (k e^2 m)( where m is the electron's mass) by s

(a) We are given the formula for the Bohr radius: $a_{mathrm{B}}=frac{hbar^{2}}{k e^{2} m}$. We

Question

- (a) Find the value of the Bohr radius $a_{\mathrm{B}}=\hbar^{2} /$ $\left(k e^{2} m\right)($ where $m$ is the electron's mass) by substituting the SI values of the constants concerned. (b) It is usually easier to do such calculations by using common combinations of constants, which can be memorized in convenient units $\left(k e^{2}=1.44 \mathrm{eV} \cdot \mathrm{nm}\right.$, for example). Find the value of the convenient combination $\hbar c$ in $\mathrm{eV} \cdot \mathrm{nm}$ from your knowledge of $h c$. [The value of $h c$ was given in equation $4.8 .$ Both $h c$ and $\hbar c$ are worth remembering in $\mathrm{eV} \cdot \mathrm{nm} .]$ Now calculate $a_{\mathrm{B}}$ by writing it as $(\hbar c)^{2} /\left(k e^{2} m c^{2}\right)$ and using known values of $\hbar c, k e^{2}$, and $m c^{2}$

          - (a) Find the value of the Bohr radius $a_{\mathrm{B}}=\hbar^{2} /$ $\left(k e^{2} m\right)($ where $m$ is the electron's mass) by substituting the SI values of the constants concerned. (b) It is usually easier to do such calculations by using common combinations of constants, which can be memorized in convenient units $\left(k e^{2}=1.44 \mathrm{eV} \cdot \mathrm{nm}\right.$, for example). Find the value of the convenient combination $\hbar c$ in $\mathrm{eV} \cdot \mathrm{nm}$ from your knowledge of $h c$. [The value of $h c$ was given in equation $4.8 .$ Both $h c$ and $\hbar c$ are worth remembering in $\mathrm{eV} \cdot \mathrm{nm} .]$ Now calculate $a_{\mathrm{B}}$ by writing it as $(\hbar c)^{2} /\left(k e^{2} m c^{2}\right)$ and using known values of $\hbar c, k e^{2}$, and $m c^{2}$

Added by Gregory S.

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