객관식
Which of the following sets of quantum numbers describes a valid orbital in an atom?
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9. Quantum Mechanics
Quantum Numbers: Principal Quantum Number
객관식
Which of the following correctly describes the allowed values for the principal quantum number, n, in an atom?
A
n can be any integer, positive or negative
B
n can be any positive integer (1, 2, 3, ...)
C
n can be any nonzero integer
D
n can be any real number greater than zero
검증된 단계별 안내1
Recall that the principal quantum number, \( n \), is a quantum number that determines the main energy level or shell of an electron in an atom.
Understand that \( n \) must be a positive integer because it represents discrete energy levels starting from the first shell (\( n = 1 \)) and increasing upwards (\( n = 2, 3, 4, \ldots \)).
Recognize that negative integers or zero are not allowed for \( n \) because energy levels cannot be negative or zero in this context; the quantum number must correspond to physically meaningful energy states.
Note that \( n \) cannot be any real number because quantum numbers are quantized and only take specific integer values, not continuous values.
Therefore, the allowed values for the principal quantum number \( n \) are all positive integers: \( n = 1, 2, 3, \ldots \).
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