if there are 8 orbitals, how do i know how many lumo orbitals there are?

To determine the number of LUMO (lowest unoccupied molecular orbital) orbitals given the number of (highest occupied molecular orbital) orbitals, you need to consider the molecular symmetry and the electronic configuration of the system.

In general, the number of LUMO orbitals will be the same as the number of orbitals. This is based on the Aufbau principle, which states that electrons fill orbitals in order of increasing energy, starting from the lowest-energy orbitals.

However, molecular systems can have different symmetries, which can affect the number of LUMO orbitals. Symmetry can lead to energy degeneracy, where different orbitals have the same energy. In such cases, the number of LUMO orbitals can be different from the number of orbitals.

To determine the number of LUMO orbitals accurately, you would need to know the specific molecular system and its electronic configuration. This information would allow you to analyze the molecular orbital diagram or perform calculations using quantum chemistry methods.

Keep in mind that without specific details about the molecule or system in question, it is challenging to provide an exact answer. However, understanding the principles of molecular orbitals, symmetries, and electronic configurations will help you evaluate the number of LUMO orbitals based on the given number of orbitals.