The Nano Scale of Things FNI 1B Why nano? The nanometer scale is where the sciences come together: Physics Biology Chemistry New properties begin to emerge at the.
Download ReportTranscript The Nano Scale of Things FNI 1B Why nano? The nanometer scale is where the sciences come together: Physics Biology Chemistry New properties begin to emerge at the.
The Nano Scale of Things FNI 1B 1 Why nano? The nanometer scale is where the sciences come together: Physics Biology Chemistry New properties begin to emerge at the nanoscale. FNI 1B 2 Metric System is made up of: Basic units Metric Prefixes Derived units FNI 1B 3 Metric System Physical Property Length Mass (Weight) Time Temperature Electric Current Volume Metric Units (abbreviation) Meters (m) Grams (g) Seconds (s) ˚Centigrade (˚C) Amperes (A) Liter (L) FNI 1B 4 Metric Prefixes Prefix, abbreviation Means Power of 10 Giga, G Mega, M kilo, k centi, c milli, m micro, µ nano, n 1 billion 1 million 1 thousand 1/100 1/1,000 1/1,000,000 1/1,000,000,000 109 106 103 10-2 10-3 10-6 10-9 FNI 1B 5 Common Metric System Units centimeter, cm millimeter, mm kilometer, km kilogram, kg cubic centimeter, cc FNI 1B 6 Unit Factor Conversion 100 cm = 1 m 100 cm Every equality gives two conversion factors written as fractions. 1m 1m 100 cm FNI 1B 7 Unit Factor Conversion 100 cm 1m Choose the factor that will cancel the original units. 1m 100 cm 200 cm = ? m 200 cm x 1m 100 cm FNI 1B = m 8 Unit Factor Conversion Unit factor conversion is the method used to convert from one set of units to another. To convert from one to another we need a “unit factor”, something equal to 1. 1 m = 109 nm This results in two conversion factors written as fractions: 109 nm 1m 109 nm and 1m http://blowers.chee.arizona.edu/cooking/units.html FNI 1B 9 Scientific Notation 2.998 x 108 m/s Scientific notation is written as a product of a decimal number and a power of 10. Scientific notation will have one non-zero digit to the left of the decimal point. FNI 1B 10 Scientific Constants Speed of Light c = 2.998 x 108 m/s Planck’s constant h = 6.626068 x 10-34 m2kg/s Boltzmann’s constant kB = 1.3807 x 10-23 J/K Gas constant R = 8.3145 J/(mol K) FNI 1B 11 Measurements -57.8 kcal/mol Three parts to a measurement: Value Magnitude Units -57.8 combined with units k kcal/mol FNI 1B 12 Display Registers Turns on the calculator Clears the last number entered All clear – clears calculation Multiplication Digits 0-9 Division Subtraction Decimal Point FNI 1B Addition Tells what number your calculations equals. 13 Log10 and antilog10 Don’t confuse this with scientific notation Square and Square root button Natural log and anti log (Euler’s constant) Used to get the yellow functions Easy fraction button Trig functions Exponentiation button Don’t confuse with scientific notation Changes the sign Memory recall and store Parentheses control priority Close parentheses and invert button Used to enter scientific notation Sometimes EE FNI 1B 14 Calculator Practice Use the EE/EXP button Do with 10x button 5 x 102 = 10 x 103 = 1 x 103 = 2 x 10-3 = 103 = 103 x 101 = Do with EE or EXP 5 x 102 = 10 x 103 = 1 x 103 = 2 x 10-3 = 103 = 103 x 101 = You should get the same answers FNI 1B 15 Common Unit Conversions used in Nanoscience 1 m = 100 cm 1 m = 1,000 mm 1 m = 1,000,000 μm = 106 μm 1 m = 1,000,000,000 nm = 109 nm 1 m = 10,000,000,000 Å = 1010 Å 1 cm = 107 nm 1 cm = 108 Å 1 mm = 1,000 μm 1 μm = 1,000 nm 1 μm = 10,000 Å FNI 1B 16 Reading a Vernier Scale FNI 1B 17 http://www.sc.doe.gov/bes/Scale_of_Things_07OCT03.pdf FNI 1B 18 FNI 1B 19 Example Magnification = 100 X Feature size = 10 cm What is the actual size in cm? What is the actual size in m? What is the actual size in microns? FNI 1B 20 Unit Factor Conversion Examples: Convert 650 nm to μm Convert 20 nm to angstroms Convert 2000 Å to μm FNI 1B 21 Scale of Things Lab http://www.cellsalive.com/howbig.htm FNI 1B 22 FNI 1B 23