Luxembourg to Mainz train with Deutsche Bahn (RE,ICE,IC)

Deutsche Bahn (DB) is Germany’s main train operator, running around 40,000 domestic and international services each day. Its fleet includes a variety of train types: high-speed ICE (Intercity Express) trains, reaching up to 300 km/h; IC (Intercity) and EC (EuroCity) trains for long-distance travel; and IRE (Interregio-Express), RE (Regional Express), and RB (Regionalbahn) services for regional and local connections. While bathrooms are standard on all trains, amenities such as onboard restaurants and free Wi-Fi are available only on certain train types and routes. DB offers a wide range of fares, including Super Saver, Saver, and Flexible tickets, along with discount cards like the BahnCard 25, 50, and 100. Additional options include single tickets, day tickets, and group tickets. Popular routes include Berlin–Munich, Hamburg–Frankfurt, Cologne–Stuttgart, Berlin–Dresden, and Hamburg–Cologne, as well as numerous regional services across Germany.

Intercity is a broad classification for express train services that connect cities over longer distances than commuter or regional trains, often with limited stops and comfortable carriages for long-distance travel. The term \InterCity\" originated with British Rail in 1966 for its electrified West Coast Main Line services.Today, \"Intercity\" or \"IC\" is a brand name used by various railway operators across Europe and other parts of the world, including PKP Intercity in Poland, Trenitalia in Italy, and services in countries like Sweden and Ukraine. These trains typically offer both Standard and First Class seating, with amenities such as power sockets and luggage space. While some Intercity services are modern and high-speed, others may use older rolling stock, with speeds generally up to 160 km/h (100 mph)."

Regional-Express (RE, or REX in Austria) is a type of regional train service found in Germany, Luxembourg, and Austria. It functions as a semi-fast train, making fewer stops than a Regionalbahn or S-Bahn but more than an Intercity or Intercity Express. RE services typically reach top speeds of 160 km/h, with some reaching 200 km/h on high-speed lines. While initially operated by DB Regio, many lines are now run by various private operators. These trains often use double-deck cars with electric or diesel locomotives.

The term \Regional\" can refer to different train companies and services depending on the country. In Germany, \"Regionalbahn\" (RB) is a type of local passenger train that typically stops at all stations on a given line, connecting cities to their surrounding areas. Many RB trains are operated by DB Regio, a division of Deutsche Bahn, but other companies also run these services."