1. Introduction to Nanomechanics (Spring 2012) Martino Poggio

2. Introduction to Nanomechanics228.03.2012 L = 120  m w = 3  m t = 100 nm E Si = 169 GPa k = 73  m x rms = 9 Å for T = 4.2 K

3. Introduction to Nanomechanics3 120 µm k = 60  N/mf = 3 kHzQ = 50,000 at 4K 100 nm thick shaft 1 µm thick mass loading Fabricated by B. Chui - IBM Ultrasensitive Cantilevers 28.03.2012

4. Introduction to Nanomechanics4 350037504000 Frequency (Hz) 4250 1000 100 10 1 0.1 0.01 1E-3 1E-4 1E-5 Sprectral density (Å 2 /Hz) 28.03.2012

5. Real-time detection of nuclear spin polarization 1 0 2 -2 1 0 2 -2 0102030 time (s) 405060 Natural spin fluctuations Thermal cantilever noise s X = 0.30±0.08 Å 2 2 s Y = 0.056±0.008 Å 2 2  m = 3.5 s Cantilever amplitude (Angstrom) Experiment with N ~ 10 6 spins ( 19 F in Calcium fluoride) Introduction to Nanomechanics528.03.2012

6. 25552560 Frequency (Hz) 255025652570 Spectral density (Å 2 /Hz) 1 0.1 100 10 1000 0.01 Cantilever thermal noise Statistically polarized spin signal from 19 F nuclei in calcium fluoride Power Spectral Density of Nuclear Spin Polarization Introduction to Nanomechanics628.03.2012

7. Introduction to Nanomechanics728.03.2012

8. Introduction to Nanomechanics828.03.2012

9. Introduction to Nanomechanics9 What causes dissipation? 28.03.2012

10. Introduction to Nanomechanics10 What causes dissipation? 28.03.2012

11. How to measure dissipation? Ring-down Drive Frequency Sweep Measuring thermal noise spectrum Introduction to Nanomechanics1128.03.2012

12. Introduction to Nanomechanics1228.03.2012

13. Introduction to Nanomechanics1328.03.2012

14. Introduction to Nanomechanics1428.03.2012

15. Introduction to Nanomechanics1528.03.2012

16. Introduction to Nanomechanics1628.03.2012

17. Introduction to Nanomechanics1728.03.2012

18. Introduction to Nanomechanics1828.03.2012

19. Introduction to Nanomechanics19 Improving cantilever dissipation 28.03.2012

20. Introduction to Nanomechanics2028.03.2012

21. Introduction to Nanomechanics2128.03.2012