ROTATION OR REVOLUTION?

meteor meteorite meteoroid Milky Way moon Neptune orbit physical characteristics Pluto revolve / revolution rotate / rotation Saturn solar system Sun Uranus Venus Essential Understandings (Content Elaboration): ● Planets in the solar system orbit the sun. Some of the planets have one or more orbiting moons. Earth is a planet that has a moon. The moon orbits Earth. Gravitational forces between the sun and its planets cause the planets to orbit the sun. Gravitational forces between a planet and its moon(s) cause the moon(s) to orbit the planet. If no forces were present, planets and moons would continue their motion toward outer space without changes in speed or direction. However, gravitational forces between the sun and each planet continuously change the planet’s direction so it remains in orbit. In the same way, gravitational forces between each moon and its planet continuously change the moon’s direction so it remains in orbit.

Understanding Quantum Theory of Electrons in Atoms The goal of this section is to understand the electron orbitals (location of electrons in atoms), their different energies, and other properties. The use of quantum theory provides the best understanding to these topics. This knowledge is a precursor to chemical bonding. As was described previously, electrons in atoms can exist only on discrete energy levels but not between them. It is said that the energy of an electron in an atom is quantized, that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels. The energy levels are labeled with an n value, where n = 1, 2, 3, …. Generally speaking, the energy of an electron in an atom is greater for greater values of n. This number, n, is referred to as the principal quantum number. The principal quantum number defines the location of the energy level. It is essentially the same concept as the n in the Bohr atom description. Another name for the principal quantum number is the shell number. The shells of an atom can be thought of concentric circles radiating out from the nucleus. The electrons that belong to a specific shell are most likely to be found within the corresponding circular area. The further we proceed from the nucleus, the higher the shell number, and so the higher the energy level (Figure 9.4.1). The positively charged protons in the nucleus stabilize the electronic orbitals by electrostatic attraction between the positive charges of the protons and the negative charges of the electrons. So the further away the electron is from the nucleus, the greater the energy it has. This quantum mechanical model for where electrons reside in an atom can be used to look at electronic transitions, the events when an electron moves from one energy level to another. If the transition is to a higher energy level, energy is absorbed, and the energy change has a positive value. To obtain the amount of energy necessary for the transition to a higher energy level, a photon is absorbed by the atom. A transition to a lower energy level involves a release of energy, and the energy change is negative. This process is accompanied by emission of a photon by the atom. The following equation summarizes these relationships and is based on the hydrogen atom: The values nf and ni are the final and initial energy states of the electron. The principal quantum number is one of three quantum numbers used to characterize an orbital. An atomic orbital, which is distinct from an orbit, is a general region in an atom within which an electron is most probable to reside. The quantum mechanical model specifies the probability of finding an electron in the three-dimensional space around the nucleus and is based on solutions of the Schrödinger equation. In addition, the principal quantum number defines the energy of an electron in a hydrogen or hydrogen-like atom or an ion (an atom or an ion with only one electron) and the general region in which discrete energy levels of electrons in a multi-electron atoms and ions are located. Another quantum number is l, the angular momentum quantum number. It is an integer that defines the shape of the orbital, and takes on the values, l = 0, 1, 2, …, n – 1. This means that an orbital with n = 1 can have only one value of l, l = 0, whereas n = 2 permits l = 0 and l = 1, and so on. The principal quantum number defines the general size and energy of the orbital. The l value specifies the shape of the orbital. Orbitals with the same value of l form a subshell. In addition, the greater the angular momentum quantum number, the greater is the angular momentum of an electron at this orbital. Orbitals with l = 0 are called s orbitals (or the s subshells). The value l = 1 corresponds to the p orbitals. For a given n, p orbitals constitute a p subshell (e.g., 3p if n = 3). The orbitals with l = 2 are called the d orbitals, followed by the f-, g-, and h-orbitals for l = 3, 4, 5, and there are higher values we will not consider. There are certain distances from the nucleus at which the probability density of finding an electron located at a particular orbital is zero. In other words, the value of the wavefunction ψ is zero at this distance for this orbital. Such a value of radius r is called a radial node. The number of radial nodes in an orbital is n – l – 1. Consider the examples in Figure 9.4.2. The orbitals depicted are of the s type, thus l = 0 for all of them. It can be seen from the graphs of the probability densities that there are 1 – 0 – 1 = 0 places where the density is zero (nodes) for 1s (n = 1), 2 – 0 – 1 = 1 node for 2s, and 3 – 0 – 1 = 2 nodes for the 3s orbitals. The s subshell electron density distribution is spherical and the p subshell has a dumbbell shape. The d and f orbitals are more complex. These shapes represent the three-dimensional regions within which the electron is likely to be found. Principal quantum number (n) & Orbital angular momentum (l): The Orbital Subshell: https://youtu.be/ms7WR149fAY If an electron has an angular momentum (l ≠ 0), then this vector can point in different directions. In addition, the z component of the angular momentum can have more than one value. This means that if a magnetic field is applied in the z direction, orbitals with different values of the z component of the angular momentum will have different energies resulting from interacting with the field. The magnetic quantum number, called ml, specifies the z component of the angular momentum for a particular orbital. For example, for an s orbital, l = 0, and the only value of ml is zero. For p orbitals, l = 1, and ml can be equal to –1, 0, or +1. Generally speaking, ml can be equal to –l, –(l – 1), …, –1, 0, +1, …, (l – 1), l. The total number of possible orbitals with the same value of l (a subshell) is 2l + 1. Thus, there is one s-orbital for ml = 0, there are three p-orbitals for ml = 1, five d-orbitals for ml = 2, seven f-orbitals for ml = 3, and so forth. The principal quantum number defines the general value of the electronic energy. The angular momentum quantum number determines the shape of the orbital. And the magnetic quantum number specifies orientation of the orbital in space, as can be seen in Figure 9.4.3. Figure 9.4.4 illustrates the energy levels for various orbitals. The number before the orbital name (such as 2s, 3p, and so forth) stands for the principal quantum number, n. The letter in the orbital name defines the subshell with a specific angular momentum quantum number l = 0 for s orbitals, 1 for p orbitals, 2 for d orbitals. Finally, there are more than one possible orbitals for l ≥ 1, each corresponding to a specific value of ml. In the case of a hydrogen atom or a one-electron ion (such as He+, Li2+, and so on), energies of all the orbitals with the same n are the same. This is called a degeneracy, and the energy levels for the same principal quantum number, n, are called degenerate energy levels. However, in atoms with more than one electron, this degeneracy is eliminated by the electron–electron interactions, and orbitals that belong to different subshells have different energies. Orbitals within the same subshell (for example ns, np, nd, nf, such as 2p, 3s) are still degenerate and have the same energy. While the three quantum numbers discussed in the previous paragraphs work well for describing electron orbitals, some experiments showed that they were not sufficient to explain all observed results. It was demonstrated in the 1920s that when hydrogen-line spectra are examined at extremely high resolution, some lines are actually not single peaks but, rather, pairs of closely spaced lines. This is the so-called fine structure of the spectrum, and it implies that there are additional small differences in energies of electrons even when they are located in the same orbital. These observations led Samuel Goudsmit and George Uhlenbeck to propose that electrons have a fourth quantum number. They called this the spin quantum number, or ms. The other three quantum numbers, n, l, and ml, are properties of specific atomic orbitals that also define in what part of the space an electron is most likely to be located. Orbitals are a result of solving the Schrödinger equation for electrons in atoms. The electron spin is a different kind of property. It is a completely quantum phenomenon with no analogues in the classical realm. In addition, it cannot be derived from solving the Schrödinger equation and is not related to the normal spatial coordinates (such as the Cartesian x, y, and z). Electron spin describes an intrinsic electron “rotation” or “spinning.” Each electron acts as a tiny magnet or a tiny rotating object with an angular momentum, even though this rotation cannot be observed in terms of the spatial coordinates. The magnitude of the overall electron spin can only have one value, and an electron can only “spin” in one of two quantized states. One is termed the α state, with the z component of the spin being in the positive direction of the z axis. This corresponds to the spin quantum number ms=12. The other is called the β state, with the z component of the spin being negative and ms=−12. Any electron, regardless of the atomic orbital it is located in, can only have one of those two values of the spin quantum number. The energies of electrons having ms=−12 and ms=12 are different if an external magnetic field is applied. Figure 9.4.5 illustrates this phenomenon. An electron acts like a tiny magnet. Its moment is directed up (in the positive direction of the z axis) for the 12 spin quantum number and down (in the negative z direction) for the spin quantum number of −12. A magnet has a lower energy if its magnetic moment is aligned with the external magnetic field (the left electron) and a higher energy for the magnetic moment being opposite to the applied field. This is why an electron with ms=12 has a slightly lower energy in an external field in the positive z direction, and an electron with ms=−12 has a slightly higher energy in the same field. This is true even for an electron occupying the same orbital in an atom. A spectral line corresponding to a transition for electrons from the same orbital but with different spin quantum numbers has two possible values of energy; thus, the line in the spectrum will show a fine structure splitting. The Pauli Exclusion Principle An electron in an atom is completely described by four quantum numbers: n, l, ml, and ms. The first three quantum numbers define the orbital and the fourth quantum number describes the intrinsic electron property called spin. An Austrian physicist Wolfgang Pauli formulated a general principle that gives the last piece of information that we need to understand the general behavior of electrons in atoms. The Pauli exclusion principle can be formulated as follows: No two electrons in the same atom can have exactly the same set of all the four quantum numbers. What this means is that electrons can share the same orbital (the same set of the quantum numbers n, l, and ml), but only if their spin quantum numbers ms have different values. Since the spin quantum number can only have two values (±12), no more than two electrons can occupy the same orbital (and if two electrons are located in the same orbital, they must have opposite spins). Therefore, any atomic orbital can be populated by only zero, one, or two electrons. The properties and meaning of the quantum numbers of electrons in atoms are briefly

Crop rotation laws or principles

What is a Hurricane, Typhoon, or Tropical Cyclone? The terms "hurricane" and "typhoon" are regionally specific names for a strong "tropical cyclone". A tropical cyclone is the generic term for a non-frontal synoptic scale low-pressure system over tropical or sub-tropical waters with organized convection (i.e. thunderstorm activity) and definite cyclonic surface wind circulation (Holland 1993). Tropical cyclones with maximum sustained surface winds of less than 17 m/s (34 kt, 39 mph) are usually called "tropical depressions" (This is not to be confused with the condition mid-latitude people get during a long, cold and grey winter wishing they could be closer to the equator). Once the tropical cyclone reaches winds of at least 17 m/s (34 kt, 39 mph) they are typically called a "tropical storm" or in Australia a Category 1 cyclone and are assigned a name. If winds reach 33 m/s (64 kt, 74 mph), then they are called: "hurricane" (the North Atlantic Ocean, the Northeast Pacific Ocean east of the dateline, or the South Pacific Ocean east of 160E) "typhoon" (the Northwest Pacific Ocean west of the dateline) "severe tropical cyclone" or "Category 3 cyclone" and above (the Southwest Pacific Ocean west of 160°E or Southeast Indian Ocean east of 90°E) "very severe cyclonic storm" (the North Indian Ocean) "tropical cyclone" (the Southwest Indian Ocean) Coriolis Effect The Coriolis Effect—the deflection of an object moving on or near the surface caused by the planet’s spin—is important to fields, such as meteorology and oceanography. Storm Approaching Southeast Asia Because of the Coriolis Effect, hurricanes spin counterclockwise in the Northern Hemisphere, while these types of storms spin clockwise in the Southern Hemisphere. This Northern Hemisphere storm, approaching Southeast Asia, is spinning counterclockwise. Earth is a spinning planet, and its rotation affects climate, weather, and the ocean through the Coriolis Effect. Named after the French mathematician Gaspard Gustave de Coriolis (born in 1792), the Coriolis Effect refers to the curved path that objects moving on Earth’s surface appear to follow because of the spinning of the planet. As Earth turns, points near the equator—countries like Ecuador and Kenya—are moving much faster than places near the planet’s poles. This is because Earth is shaped like a marble: Its circumference is larger near its middle (the equator) than near its top and bottom. All places on Earth experience a day that is about 24 hours long, but points near the equator have to travel longer distances in the same period of time, which means that those places move faster. Scientists say these points have more “angular momentum.” This is why rockets are usually launched from places near the equator, like Cape Canaveral, Florida, United States. Such locations give rockets a large initial speed, which helps them get into orbit using the least possible amount of fuel. The Coriolis Effect influences wind patterns, which in turn dictate how ocean currents move. Imagine wind near the equator flowing to the north. That wind starts with a certain speed due to Earth’s rotation (near the equator, Earth rotates at a speed of roughly 1,600 kilometers per hour (1,000 miles per hour) from west to east). As the wind travels north toward the North Pole, it moves over parts of Earth that are rotating progressively more slowly. Since the wind retains its angular momentum, it keeps moving from west to east, overtaking the part of Earth turning more slowly below it. As a result, the wind appears to bend to the east (that is, to the right). This is the Coriolis Effect in action. Wind flowing south from the equator would likewise bend to the east. This effect is responsible for many meteorological and oceanographic phenomena. For instance, due to the Coriolis Effect, hurricanes in the Northern Hemisphere spin in a counterclockwise direction, while hurricanes in the Southern Hemisphere (known as cyclones) spin in a clockwise direction. Ocean-circling currents known as “gyres” also spin in spiral patterns thanks to the Coriolis Effect. There is an urban legend that water in toilets spins in opposite directions in the Northern and Southern Hemispheres because of the Coriolis Effect. But that isn't true—a toilet bowl is too small for the effect to be observed. Instead, other factors like the shape of the toilet bowl and the direction that the water enters are largely responsible for how the flushing water moves.

1. What calm area near the Equator is characterized by minimal wind movement? Answer: Doldrums 2. What are visible accumulations of tiny water droplets or ice crystals in the air called? Answer: Clouds 3. Which cloud type is high, thin, and made of ice crystals? Answer: Cirrus 4. What do we call the apparent deflection of winds and currents due to Earth’s rotation? Answer: Coriolis effect 5. In which hemisphere do storms rotate clockwise? Answer: Southern Hemisphere 6. What are winds that blow consistently from one direction over a specific area called? Answer: Prevailing winds 7. What is the area where prevailing winds meet called? Answer: Convergence zone 8. Which wind zone blows from the polar regions toward the mid-latitudes? Answer: Polar easterlies 9. In which hemisphere do storms rotate counterclockwise? Answer: Northern Hemisphere 10. Which wind zone blows from west to east across the mid-latitudes? Answer: Westerlies 11. What are the calm areas around 30° north and south latitude with little precipitation called? Answer: Horse latitudes 12. What winds blow toward the Equator from the northeast in the Northern Hemisphere and from the southeast in the Southern Hemisphere? Answer: Trade winds 13. Which cloud type is mid-level and blankets the sky, often bringing overcast weather? Answer: Stratus 14. Which cloud type is puffy and can bring heavy rain or snow depending on height? Answer: Cumulus 15. What prefixes indicate the height of clouds in the atmosphere? Answer: Cirro-, alto-, nimbo-

air mass a large area of air that has uniform temperature, humidity, and pressure. air pressure the force that a column of air applies on the air or a surface below it albedo the measure of the sun's reflectivity on Earth's different surfaces atmosphere the layers of gases surrounding Earth climate average weather conditions in a specific region over a long period of time coriolis effect the movement of wind or currents in a curved path due to Earth's rotation eddy Smaller, temporary loops of swirling water that can travel long distances before dispersing front a boundary between two air masses greenhouse gas a gas in the atmosphere that absorbs part Earth’s outgoing infrared radiation gyre a large circular system of ocean currents. humidity the amount of water vapor in the air hydrosphere system containing all the solid and liquid water on Earth jet stream Narrow bands of high speed wind high in the troposphere that move from west to east land breeze Winds that blow at night from land toward the sea. This is due to the fact that land has a low specific heat capacity and cools faster than water. This creates high pressure over the land at night and thus wind. local winds Winds that blow over short distances polar easterlies cold winds that blow from the east to the west near the North Pole and South Pole. prevailing wind distinct wind patterns caused by differences in pressure and the Coriolis effect sea breeze Winds that blow during the day from the sea toward land. This is due to water having a high specific heat capacity and it does not heat or cool quickly. High pressure then forms over the water during the day and blows toward the land. specific heat capacity The amount of heat that must be added to a substance to increase the tempurature by one degree Celsius storm surge water that has blown outward from the center of a tropical cyclone or hurricane and creates an abnormal rise in ocean waters on the coast surface current Currents near the surface of the ocean. Driven by wind, the Coriolis effect, and continental deflection trade winds Steady winds that flow from east to west between 30°N latitude and 30°S latitude along the equator tropical cyclone a rotating, organized system of clouds and thunderstorms that originates over tropical or subtropical waters typhoon a tropical cyclone occurring in the Pacific Ocean; especially in the region of the Philippines or the China Sea. weather the short-term atmospheric conditions in a given place and time westerlies steady winds that flow from west to east in the middle latitudes (30- 60 Degrees). These impact our weather in the US. wind shear A large shift in wind speed and

Rotations In a doubles game, the players have to take turns hitting the ball with their partner. After each shot, a player has to move out so that the partner can get into the best position for the next shot. It is very important that both players establish an effective rotation pattern and alternative rotation patterns. 1. Circular Rotations (Figure 16.1) Each player moves in a circular way behind the partner after each shot and should be ready to move up and hit. Both players move the same way and two left-handed or right-handed aggressive players can use this movement. 125 16.1 circular rotations 2. Up and Down Rotations (Figure 16.2) Each player moves toward table in a diagonal way to return a shot then back up the same way. One left-handed and one right-handed pair use this rotation. 16.2 up and down rotations 3. T-Rotations (Figure 16.3) The front person moves sideways and the back person moves back and forth. Mostly pairs of one fast style player (front) and one loop style player (back), or one close-table offensive player (front) and one slice style player (back) use this rotation. 16.3 “T” rotations 4. Triangle Rotations (Figure 16.4) Each player using this rotation pattern moves to sides to return shot, then step back to the middle for the next shot in a triangle way. It is used often to return angles shots to sides and it is similar to the circular rotation. 126 16.4 triangle rotations Teamwork and Strategies 1. Establish a good rotation and movement patterns. 2. Create chances for your partner when returning a shot or serve. 3. Cover your partner's weaknesses. 4. Attack the weaker opponent. 5. Hit to the opponent who just finished the shot and is moving away. 6. Use your best serves and shots in games to ensure your best play and reduce mistakes. 7. Change serves and shots to keep opponents guessing what the next motion will be. 8. Change speed, power, lines and placement of the shots and serves to avoid opponents adapting to them. 9. Combine spin and flat serves to force opponent make more mistakes. 10. Attack opponents’ weaknesses. 11. Avoid the strength of opponent. For example, hit to the backhand if opponent is strong at forehand, or use more short chop shots if opponent is very aggressive. 12. Hit to the openings, weak side, and an opponent's body.

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