This paper provides a comprehensive survey of the burgeoning field of Agentic Science, which envisions AI systems as autonomous research partners capable of performing a wide range of scientific tasks, from hypothesis generation to experimental design and analysis. The authors introduce a conceptual framework to categorize and understand the capabilities required for AI agents to conduct scientific research, dividing these into foundational capabilities, core processes, and domain-specific realizations. The foundational capabilities include planning and reasoning, tool use and integration, memory, collaboration, and optimization. The core processes encompass observation, experimental planning, data analysis, and synthesis. Finally, domain-specific realizations refer to the application of these capabilities and processes in various scientific disciplines. The paper reviews the current state of the field across life sciences, chemistry, materials science, and physics, highlighting recent advancements and showcasing the potential of AI agents in these areas. The authors also discuss the challenges and future opportunities in this domain, emphasizing the need for robust and trustworthy scientific agents. The paper's primary contribution lies in its synthesis of existing research and the proposed framework for understanding AI capabilities in scientific discovery. While the paper does not present novel experimental results, it offers a valuable overview of the current landscape and identifies key areas for future research. The authors aim to provide a roadmap for the development of AI systems that can truly partner with humans in the scientific endeavor, ultimately accelerating the pace of discovery and expanding the boundaries of human knowledge. The paper's significance lies in its attempt to define and categorize the emerging field of agentic science, providing a common language and framework for researchers in this area. By highlighting the current state of the field and identifying key challenges, the paper aims to guide future research and development in this exciting and rapidly evolving domain.