Problem: X-ray diffractometers often use metals that have had their core electrons excited as a source of X rays. Consider the 2p → 1s transition for copper, which is called the Kα transition. Calculate the wavelength of X rays (in angstroms) given off by the Kα transition if the energy given off by a mole of copper atoms is 7.77 × 105 kJ . (Note that 1Å = 10-10 m)

FREE Expert Solution

Calculate the energy in J/photon:

E=7.77×105 kJmol×103 J1 kJ×1 mol6.022×1023 atoms

E = 1.29× 10–15 J/atom = 1.29× 10–15 J/photon


Calculate wavelength:

E=hv (1)

λ=cv (2)

E=hcλ


λ=hcE

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Problem Details

X-ray diffractometers often use metals that have had their core electrons excited as a source of X rays. Consider the 2→ 1s transition for copper, which is called the transition. Calculate the wavelength of X rays (in angstroms) given off by the transition if the energy given off by a mole of copper atoms is 7.77 × 105 kJ . (Note that 1Å = 10-10 m)

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