@Zamboni @Case I was shocked when she told me she was intrigued by nanoscience. Not that she knows much about what it's all about. Regardless, even in the straight chemistry major she chose, she can have some nano courses and opportunities to get into it if she chooses. Some of the profs are doing some very cool research into using nano in clothing fibres for wearables as well as nano in cancer research. She felt since she didn't knowbof she would even like nano, straight chemistry was the most flexible for now. Great point about flexibility for job hunting too!
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In regards to biology... I can relate somewhat. I was never good at biology because at early levels it pushes a lot of rote memorization. Actually, some chemistry courses (most notable sophomore organic chemistry) are heavy on memorization too. Premeds tend to excel at memorization, and I did better in the courses where i could logic my way to an answer.
That said, I always found biology fascinating. In fact, the deeper you get into chemistry, the more you will be fascinated by biology. Conventional limitations in traditional chemistry are bypassed with ultra-sophisticated enzymes, for example.
Anyways, the point I want to make is as follows: 'nanoscience', and the concept of making ultra-advanced little machines ('nanomachines') IS biology. Cells contains lots of little nanomachines. Nanoscience is very much in a fledgling state. Many of the solutions that nanoscience brings to the table will be biochemical systems.
It's important that your daughter understand that concept. If she hates biology, it's important that she articulates why.
Anyways, if one truly wants to avoid biology (culturing cells and stuff) and perhaps wants to aim towards a more 'tech-y' field (and perhaps this is what your daughter actually prefers?) she might be benefited with a degree or courses in materials science. Materials science is much more main stream and is closer to chemistry than it is to biology.
Nanoscience and other related words are often buzzwords used to generate interest. It may or may not be a fad. Just things to be aware of. In your daughter's shoes I'd probably go for a chem/mat sci degree, and try to get some 'nanoscience' classes for exposure to those particular things. That said, I have zero familiarity with 'nanoscience' as a degree option, etc...