are radiocarbon dating and carbon-14 dating the same thing?

I assume you have this figured out now with the help of Sra; the answer to your question is yes.

Yes, radiocarbon dating and carbon-14 dating are essentially the same thing. They both refer to a method used to determine the age of organic materials based on the amount of carbon-14 (C-14) present in the sample.

To explain how radiocarbon dating works, we need to understand the concept of carbon-14. Carbon-14 is a radioactive isotope of carbon that is naturally produced in the Earth's atmosphere. It is formed when cosmic rays from the sun collide with nitrogen molecules in the atmosphere, converting them into carbon-14.

Living organisms, including plants and animals, absorb carbon from the atmosphere through the process of photosynthesis or by consuming plants or other animals. Consequently, the carbon they contain includes a certain proportion of carbon-14.

However, once an organism dies, it no longer takes in new carbon-14, and the existing carbon-14 starts to decay. This decay can be measured, and the rate at which it occurs is known. By measuring the ratio of carbon-14 to carbon-12 (a stable isotope of carbon) in a sample, scientists can estimate the age of the sample.

Now, back to your original question, the terms "radiocarbon dating" and "carbon-14 dating" are used interchangeably because both refer to the same principle and methodology of dating materials using their carbon-14 content. The term "radiocarbon dating" emphasizes the fact that it utilizes the radioactive properties of carbon-14, while "carbon-14 dating" directly refers to the specific isotope involved.