Amsterdam to Mainz train with Deutsche Bahn (ICE,IC,RE,RB,EC)

VIAS Rail GmbH is a German rail service company based in Frankfurt, operating passenger rail services in the states of Hesse, Rhineland-Palatinate, and North Rhine-Westphalia. The name \VIAS\" is derived from the Latin word \"via\" (way) and \"S\" for service. VIAS Rail GmbH operates numerous regional train lines, including services on the Odenwald Railway network and lines in the Rhein-Main Gebiet. They utilize various train types, such as Bombardier Itino and Stadler FLIRT vehicles. The company is a subsidiary of the RATH Group."

ÖBB Nightjet is an Austrian train company that offers overnight services across Europe. It has a range of train types, including the EuroNight, CityNightLine and Nightjet, which all offer comfortable sleeping compartments and couchettes. The EuroNight is the most luxurious option, with private compartments and a restaurant car. The CityNightLine is a more affordable option, with compartments and couchettes, while the Nightjet is the most basic option, with couchettes and reclining seats. Ticket types include Economy, Comfort and Business, with the latter offering the most luxurious experience. Onboard facilities include Wi-Fi, power sockets, a restaurant car and a bar. The most popular routes for ÖBB Nightjet are from Vienna to Munich, Berlin, Zurich, Amsterdam, Prague and Budapest.

Intercity is a widely recognized brand for express train services that connect cities over longer distances, often with limited stops and comfortable carriages for long-distance travel. The term \Intercity\" originated in the United Kingdom in 1966 with British Rail's electrification of the West Coast Main Line, becoming a brand for their main-line passenger routes. Today, Intercity services vary across Europe, with some countries like Switzerland offering modern, high-standard trains, while in others, they may be older compared to newer high-speed options. Many European countries use \"InterCity\" as an official brand name for regular, long-distance train services meeting specific speed and comfort criteria. For example, PKP Intercity is a major Polish rail operator connecting cities and tourist resorts within Poland and across Europe. Trenitalia's Intercity trains in Italy offer an affordable and widespread means of rail transport, connecting various cities and towns. These trains typically offer Standard and First Class services, with amenities like power sockets and sometimes catering."