In the title method developed by our group, pulsed laser light is focused on a metal substrate in vacuum. All metals can be obtained in the form of monopositive atomic metal ions (M+'s) in our experimental conditions. Laser-ablated M+'s are allowed to react with molecules and/or clusters in the molecular beam injected nearby. The ion-molecule reactions give a variety of product ions, most of them being new "exotic" compounds. Since every metal can be prepared in the monopositive state, we can open a new field of metal monopositive ion chemistry. To date we have studied reaction sof a variety of M+'s with benzene clusters, Cr(CO)6, ammonia clusters, ammonia-water binary clusters, etc. A new class of metallocenes, mixed-metal binuclear carbonyls MCr(CO)n+, "ammine" complexes of many metals when the metal ions are in the monopositive state, and mixed-ligand complexes M+(NH3)m(H2O)n, were obtained, respectively. The last case gives information on the competitive coordination (solvation). A simple-minded kinetic simulation reproduced the essential feature in the competitive coordination (solvation).