Question

Examine the total number of orbitals in the n = 1 through 4 shells. what is the relationship between the n value and the total number of orbitals?

Answer 1

The total number of orbitals in the n = 1 through 4 shells is only 1.

The relationship between the n value and the total number of orbitals is given as

Total number of orbitals = n²

Because there is only one way a sphere can be orientated in space, there is only one(1)  orbital in the n = 1 shell.

An orbital has n² total orbitals for a given value of n.

Each atom's electron is given one of four quantum numbers, the primary quantum number (symbolized n), to describe the state of that electron. It is a discrete variable since the values are all natural numbers starting at 1.

The orbital's size is defined by the primary quantum number (n). For example, orbitals with n = 2 are larger than those with n = 1.

Electrons are drawn to the atom's nucleus because their electrical charges are in opposition to one another.

In order to excite an electron from an orbital where it is close to the nucleus (n = 1) to an orbital where it is distant from the nucleus (n = 2), energy must be absorbed.

Thus, the energy of an orbital is indirectly described by the primary quantum number.

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