
Which atomic orbitals of which subshells have a dumbbell shape?
Answer
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Hint: We need to study atomic orbitals and their shapes in regards to subshells. For a better understanding of the geometry of electron orbitals, quantum theory and other characteristics of electron orbitals are used.
Complete answer:
One of three quantum numbers used to characterise an orbital, the main quantum number is one of the three quantum numbers. Unlike a regular orbit, atomic orbitals are broad regions in an atom where electrons are most likely to reside. When an electron is found in three-dimensional space surrounding a nucleus, a quantum mechanical model determines its probability. The angular momentum quantum number, , is another quantum number. It is an integer that takes the values ,..., and specifies the form of the orbital. This means that an orbital with may only have one value, , but an orbital with can have and , and so on. The orbital's overall size and energy are defined by the main quantum number. The orbital's form is determined by the value. A subshell is formed by orbitals with the same value. Furthermore, the angular momentum of an electron in this orbital is proportional to the angular momentum quantum number.
The subshells have a sphere-like form. The orbital is present in both the and main shells, although the sphere in the orbital is bigger. Each of the spheres represents a single orbital. Three dumbbell-shaped orbitals make up subshells. Shell does not have a subshell, but principal shell does.
Fig: dumbbell-shaped orbitals make up subshells (x,y and z axis)
Note:
Note that orbitals are orbitals with .The orbitals are represented by the value orbitals form a subshell for a given (e.g., for ). The orbitals are those with , followed by the and orbitals with and higher values.
Complete answer:
One of three quantum numbers used to characterise an orbital, the main quantum number is one of the three quantum numbers. Unlike a regular orbit, atomic orbitals are broad regions in an atom where electrons are most likely to reside. When an electron is found in three-dimensional space surrounding a nucleus, a quantum mechanical model determines its probability. The angular momentum quantum number,
The

Fig: dumbbell-shaped orbitals make up
Note:
Note that
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