What is the chemical formula and name for:

Na+1 and Na-3?

Hmmmm. You have two ions, and you have given their chemical formulas already. The names of these two ions are

sodium +1 ion
sodium -3 ion...which if existed would be mighty tranisent and unstable.

What would be their formula and name if they were added?

The chemical formula and name of an element or ion are derived from its atomic number and charge. To determine the chemical formula and name for an ion, we need to identify the element and its charge.

In this case, the element is sodium (Na). Sodium has an atomic number of 11, indicating that it has 11 protons in its nucleus. The number of protons defines the identity of the element.

Now, let's consider the ions you mentioned:

1. Na+1: The "+1" indicates that the sodium ion has lost one electron. When an atom loses electrons, it becomes positively charged. Therefore, Na+1 represents a sodium ion with a charge of +1. Since sodium normally has 11 electrons when it's neutral, losing one electron results in a positive charge. The chemical name for Na+1 is a sodium cation.

2. Na-3: The "-3" indicates that the sodium ion has gained three electrons. When an atom gains electrons, it becomes negatively charged. However, sodium is not known to easily gain three electrons, so Na-3 is not a common ion for sodium. It is important to note that the charge on an ion is typically based on the ability of an element to gain or lose electrons to achieve a stable electron configuration. Instead, if sodium were to gain three electrons, it would form a different species entirely.

In summary, the chemical formula and name for Na+1 is a sodium cation. However, there is no commonly known sodium ion with a charge of Na-3.