To determine the name of the ion [tex]\(NH_4^{+1}\)[/tex], let us follow the steps of identifying it from the given options.
1. Look at the chemical formula: The ion is given as [tex]\(NH_4^{+1}\)[/tex]. This chemical formula indicates that the ion consists of one nitrogen (N) atom and four hydrogen (H) atoms, carrying a +1 charge.
2. Identify common ions:
- One of the most common ions consisting of a nitrogen atom and hydrogen atoms with a +1 charge is the ammonium ion.
- Knowing the name of common polyatomic ions can help significantly.
3. Review the given options:
- nitrogen quadhydride: This name does not match any well-known ion and does not fit the naming convention for such ions.
- ammonium: This is a well-known ion with the chemical formula [tex]\(NH_4^{+1}\)[/tex].
- ammonia: Ammonia refers to [tex]\(NH_3\)[/tex], which is a neutral molecule, not an ion.
- hydronium: Hydronium is [tex]\(H_3O^+\)[/tex], which is different from the given ion.
4. Conclusion: Among the provided options, the correct name for the ion [tex]\(NH_4^{+1}\)[/tex] is ammonium.
Therefore, the name of the ion [tex]\(NH_4^{+1}\)[/tex] is:
```
ammonium
```
