Chromium steel is generally harder than tungsten steel. Chromium, when alloyed with steel, forms a hard, corrosion-resistant material known as stainless steel. The hardness of chromium steel is primarily due to the presence of the carbide phase, which is formed when chromium combines with carbon. This carbide phase, known as chromium carbide (Cr23C6), is extremely hard and contributes significantly to the overall hardness of the steel.

On the other hand, tungsten steel, also known as wolfram steel, is a high-speed steel that contains tungsten as its primary alloying element. Tungsten is one of the hardest elements on the planet, but when it is alloyed with steel, the resulting material is not as hard as pure tungsten. The hardness of tungsten steel is influenced by the presence of tungsten carbide (WC) and other carbides, which are formed when tungsten combines with carbon.

According to the Rockwell hardness scale, which is commonly used to measure the hardness of metals, the hardness of chromium steel can range from 50 to 60 HRC, while tungsten steel typically has a hardness of around 60 to 65 HRC. This indicates that tungsten steel is slightly harder than chromium steel. However, it is important to note that the actual hardness can vary depending on the specific composition and heat treatment of the steel.

The hardness of a material is crucial for its application in various industries. Chromium steel is widely used in the construction of tools, such as knives and saw blades, due to its high hardness and corrosion resistance. Tungsten steel, on the other hand, is favored for its excellent wear resistance and high-temperature strength, making it suitable for applications in the aerospace and tooling industries.

In conclusion, while tungsten steel is slightly harder than chromium steel, the overall performance of the materials in specific applications can be influenced by other factors such as corrosion resistance, toughness, and cost. The choice between the two steels depends on the specific requirements of the application and the desired balance of properties.