Consider an Ar atom trapped in square box with length 1 m. Assume that the energy of the Ar atom is equal to thermal energy: 3kBT/2 at 250C. a) Use the model of a particle in a box and assume the particle is at the state: n = nx = ny = nz, calculate n of the above system. b) What is the energy separation between the states (n, n, n) and (n + 1, n, n). c) Assume that all the energy of the particle is from kinetic energy. Calculate the de Broglie wavelength of the particle. d) Based on your answers above, would you treat this particle classically or quantumly? Explain your answer
Atomic Structure
The basic structure of an atom is defined as the component-level of atomic structure of an atom. Precisely speaking an atom consists of three major subatomic particles which are protons, neutrons, and electrons. Many theories have been stated for explaining the structure of an atom.
Shape of the D Orbital
Shapes of orbitals are an approximate representation of boundaries in space for finding electrons occupied in that respective orbital. D orbitals are known to have a clover leaf shape or dumbbell inside where electrons can be found.
part d
Consider an Ar atom trapped in square box with length 1 m. Assume that the energy of the Ar atom is equal to thermal energy: 3kBT/2 at 250C.
a) Use the model of a particle in a box and assume the particle is at the state: n = nx = ny = nz, calculate n of the above system.
b) What is the energy separation between the states (n, n, n) and (n + 1, n, n).
c) Assume that all the energy of the particle is from kinetic energy. Calculate the de Broglie wavelength of the particle.
d) Based on your answers above, would you treat this particle classically or quantumly? Explain your answer.
The atomic mass of the Argon is 39.948 amu or 40.00 amu.
1 amu = 1.66110-27 kg
40 amu = 6.6410-26 kg
Given:
Length of the box, l = 1 m2kg
Temperature, T = 25C = 298.15 K
Energy, E is given as:
kB - Boltzmann constant = 1.3810-23 J.K-1
Therefore, by putting the respective values, energy can be calculated as:
Step by step
Solved in 4 steps
