@mekane
Tokala may be correct about the processor. I don't have proof either way. A couple benchmarks I looked at rated the Phenom a lot higher, but perhaps the test was more multithreaded than CiV, and the higher frequency makes Civ5 better on an i3. I still won't ever advise a dual-core computer, however.
My dad plays civ just fine on a
desktop Phenom II x4.
In regards to the graphics card:
"AMD Radeon HD 6650M (also known as ATI Mobility Radeon HD 6650) is the fastest video card middle class notebook. It supports DirectX 11, is the successor to HD 5650. Feature map: higher frequency 80 shaders, support and Eyefinity + new video decoder UVD3. However, the adapter is still produced on 40-nm process and is based on the chip and card Whister series 6700M and 6600M. In fact, 6650M is an adapter card 6750M with DDR3.
480 stream processors based on the “old” architecture, similar to the 5 d, which was used in the 5000-series cards. Consequently, the number of shaders are not comparable with the number of one-dimensional shaders in graphics processors from NVIDIA.
The tessellation with new cards will be improved (is the same as in desktop 6800 series) . Streaming processors may be used with DirectX 11 and OpenGL 4, DirectCompute 11 and OpenCL. Can also be used to perform common calculations, such as video transcoding."
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http://technomoot.com/2011/02/07/amd-radeon-hd-6650m-graphics-card.html
"We use tessellation for the Civilization V terrain, which adjusts the mesh's subdivision of the terrain as the user zooms in and out. Not only does it add detail, but terrain tessellation makes the game measurably faster on both Nvidia and AMD hardware (as much as 30% in some cases). "
-Dan Baker
Since Civ5 uses modern graphics, modern graphics cards are best.