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I always thought that p-orbitals had a dumbbell shape as pictured below.

enter image description here

(image source)

However, I was reading an article (see Table 1, item 2) that says, "...the spherical $\mathrm{p_{1/2}}$ subshell..." (my emphasis). The implication being that the $\mathrm{p_{1/2}}$ orbital (subshell?) has a greater electron density near the nucleus thenthan the $\mathrm{p_{3/2}}$ orbital (subshell?). Why is this andand why do they call the $\mathrm{p_{1/2}}$ orbital spherical?

I always thought that p-orbitals had a dumbbell shape as pictured below.

enter image description here

(image source)

However, I was reading an article (see Table 1, item 2) that says, "...the spherical $\mathrm{p_{1/2}}$ subshell..." (my emphasis). The implication being that the $\mathrm{p_{1/2}}$ orbital (subshell?) has a greater electron density near the nucleus then the $\mathrm{p_{3/2}}$ orbital (subshell?). Why is this and why do they call the $\mathrm{p_{1/2}}$ orbital spherical?

I always thought that p-orbitals had a dumbbell shape as pictured below.

enter image description here

(image source)

However, I was reading an article (see Table 1, item 2) that says, "...the spherical $\mathrm{p_{1/2}}$ subshell..." (my emphasis). The implication being that the $\mathrm{p_{1/2}}$ orbital (subshell?) has a greater electron density near the nucleus than the $\mathrm{p_{3/2}}$ orbital (subshell?). Why is this and why do they call the $\mathrm{p_{1/2}}$ orbital spherical?

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I always thought that p-orbitals had a dumbbell shape as pictured below.

enter image description here

(image source)

However, I was reading an article (see Table 1, item 2) that says, "...the sphericalspherical $\mathrm{p_{1/2}}$ subshell..." (my emphasis). The implication isbeing that the $\mathrm{p_{1/2}}$ orbital (subshell?) has a greater electron density near the nucleus then the $\mathrm{p_{3/2}}$ orbital (subshell?). Why is this and why do they call the $\mathrm{p_{1/2}}$ orbital spherical?

I always thought that p-orbitals had a dumbbell shape as pictured below.

enter image description here

(image source)

However, I was reading an article (see Table 1, item 2) that says, "...the spherical $\mathrm{p_{1/2}}$ subshell...". The implication is that the $\mathrm{p_{1/2}}$ orbital (subshell?) has a greater electron density near the nucleus then the $\mathrm{p_{3/2}}$ orbital (subshell?). Why is this and why do they call the $\mathrm{p_{1/2}}$ orbital spherical?

I always thought that p-orbitals had a dumbbell shape as pictured below.

enter image description here

(image source)

However, I was reading an article (see Table 1, item 2) that says, "...the spherical $\mathrm{p_{1/2}}$ subshell..." (my emphasis). The implication being that the $\mathrm{p_{1/2}}$ orbital (subshell?) has a greater electron density near the nucleus then the $\mathrm{p_{3/2}}$ orbital (subshell?). Why is this and why do they call the $\mathrm{p_{1/2}}$ orbital spherical?

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