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The zero point energy for a particle electron in 1-D box of length 1Å in units of n2 eV is ______________ (Round off to one decimal place)
Correct answer is between '37.2,37.8'. Can you explain this answer?
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The zero point energy for a particle electron in 1-D box of length 1&A...
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The zero point energy for a particle electron in 1-D box of length 1&A...
The zero point energy for a particle in a 1-D box of length L is given by the equation:
E0 = (π^2 * h^2) / (2 * m * L^2)
where E0 is the zero point energy, h is the Planck's constant (6.62607015 × 10^-34 J*s), m is the mass of the particle (in this case, the electron mass is approximately 9.10938356 × 10^-31 kg), and L is the length of the box (in this case, 1).
Plugging in the values, we get:
E0 = (π^2 * (6.62607015 × 10^-34)^2) / (2 * (9.10938356 × 10^-31) * 1^2) ≈ 1.502 × 10^-18 J
Therefore, the zero point energy for an electron in a 1-D box of length 1 is approximately 1.502 × 10^-18 Joules.
E0 = (π^2 * h^2) / (2 * m * L^2)
where E0 is the zero point energy, h is the Planck's constant (6.62607015 × 10^-34 J*s), m is the mass of the particle (in this case, the electron mass is approximately 9.10938356 × 10^-31 kg), and L is the length of the box (in this case, 1).
Plugging in the values, we get:
E0 = (π^2 * (6.62607015 × 10^-34)^2) / (2 * (9.10938356 × 10^-31) * 1^2) ≈ 1.502 × 10^-18 J
Therefore, the zero point energy for an electron in a 1-D box of length 1 is approximately 1.502 × 10^-18 Joules.
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The zero point energy for a particle electron in 1-D box of length 1Åin units of n2eV is ______________ (Round off to one decimal place)Correct answer is between '37.2,37.8'. Can you explain this answer?
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