What Is Matter Composed of?
What Is Matter Composed of?
Have you ever looked at a large rock and wondered what it's made of? If you break that rock, you get smaller stones. If you crush those stones, you get fine grains of sand and clay. But can we keep going? Is there a point where we can't break things down any further? Let's investigate the fundamental nature of matter—the "stuff" that everything around us is made of.
The Incredible Shrinking Chalk
Let's start with a simple, hands-on activity that reveals a profound truth about the world.
Activity 7.1: A Chalk's Tale
Imagine you have a simple stick of chalk.
- Break it: You can easily snap it into two pieces. No problem.
- Break it again: You can continue breaking the pieces until they are too small to hold and break with your hands.
- Grind it: Now, take these small pieces and grind them with a mortar and pestle. You get a fine powder.
- Observe: If you look at this powder under a magnifying glass, you'll see countless tiny grains. Each grain is still unmistakably chalk!
What we've just done is a physical change. We changed the size and shape of the chalk, but we didn't change the substance itself. The powder is still chalk, just in a much, much smaller form.
{{VISUAL: diagram: Step-by-step process showing a whole chalk stick, then broken pieces, then fine chalk powder in a mortar, and finally a magnified view revealing the tiny, individual grains of the powder.}}
If we could continue grinding this powder with incredibly powerful tools, we would eventually reach a point where we get particles that cannot be broken down any further. These are the fundamental building blocks of the chalk.
{{KEY: type=definition | title=Constituent Particle | text=A constituent particle is the basic, fundamental unit that makes up a larger piece of a substance or material. Matter is composed of a large number of these extremely small particles.}}
This simple experiment shows us a huge idea: a solid object like a piece of chalk is not one continuous thing. Instead, it's a massive collection of countless tiny constituent particles, all packed together.
The Case of the Disappearing Sugar
Breaking a solid gives us one clue. What about dissolving something? Where does the sugar go when you stir it into a glass of water?
Activity 7.2: The Sweet Mystery
- Take a glass of water.
- Add two teaspoons of sugar, but do not stir. If you taste the water from the top, it won't be very sweet.
- Now, stir the water until all the sugar crystals disappear.
- Taste the water from the top again. It's sweet!
The sugar is clearly still there—your taste buds prove it! But you can no longer see the sugar crystals. What happened?
The sugar didn't vanish. Instead, each sugar crystal broke down into its own constituent particles. These particles are millions of times smaller than the original crystal and are far too small to see. They then spread out and mixed evenly throughout the water.
But how did they find room to fit in? This leads to our next big discovery.
{{KEY: type=concept | title=Interparticle Spaces | text=The particles that make up matter are not packed together without any gaps. The empty spaces that exist between the constituent particles of a substance are known as interparticle spaces. In liquids, these spaces allow particles of another substance (like sugar) to fit into them.}}
The tiny sugar particles simply moved into the empty spaces available between the water particles. This is why the volume of the water doesn't increase much, but the sweetness spreads everywhere.
{{VISUAL: diagram: Two beakers side-by-side. The first beaker shows water particles (large blue circles) with visible gaps between them. The second beaker shows small sugar particles (red dots) having filled the gaps between the blue water particles after dissolving.}}
{{KEY: type=exam | title=Answering 'Why' Questions | text=CBSE questions often ask you to explain observations, like 'Why does the smell of an incense stick spread across a room?'. Your answer must mention two key points: (1) The substance breaks down into tiny particles, and (2) these particles move and occupy the interparticle spaces of the air.}}
The Force That Binds
We've seen that chalk and sugar are made of tiny particles. This raises a new question: If matter is just a collection of tiny, separate particles, what holds them together to form a solid chalk stick or a sugar crystal in the first place?
The answer is that there are forces of attraction between these particles. These are called interparticle attractions.
The strength of these attractions is what determines whether a substance is a solid, a liquid, or a gas.
- In solids like chalk, these forces are very strong, holding the particles in fixed positions.
- In liquids like water, the forces are weaker, allowing particles to move around.
- In gases like air, the forces are extremely weak.
We will explore this in more detail soon!
{{ZOOM: title=Ancient Wisdom: The Idea of 'Parmanu' | text=The idea that matter is made of tiny, indivisible particles is not new. Thousands of years ago, an ancient Indian philosopher named Acharya Kanad proposed that all matter is composed of eternal, indivisible particles called 'Parmanu' (similar to the modern concept of an atom). This revolutionary idea was part of his work, the Vaisheshika Sutras.}}
Key Takeaway: All matter, whether it's a solid rock, liquid water, or the air we breathe, is made of a vast number of extremely tiny particles that have spaces between them and are held together by forces of attraction.
What Decides Different States of Matter? & Solid State
What Decides the Different States of Matter?
Have you ever wondered why a block of wood is hard, water flows, and the air is all around us but invisible? The answer lies in the tiny particles that make up everything and the secret forces that act between them.
All matter is made of particles that are constantly attracting each other. These forces of attraction are called interparticle attractions. Think of them as invisible springs connecting each particle to its neighbours. The strength of these "springs" is the key to everything.
- If the attraction is very strong, the particles are held tightly together.
- If the attraction is weak, the particles can move around more freely.
The strength of these forces depends on two main things: the nature of the substance and, crucially, the distance between the particles. Even a tiny increase in the distance between particles can make these forces much weaker. It is this delicate balance of attraction and distance that determines whether a substance is a solid, a liquid, or a gas.
{{ZOOM: title=Acharya Kanad and the Idea of 'Parmanu' | text=Long before modern science, ancient Indian philosopher Acharya Kanad proposed that all matter is composed of tiny, indivisible particles he called 'Parmanu' (similar to the modern concept of an atom). His work, the 'Vaisheshika Sutras', explored these fundamental ideas, showcasing a rich heritage of scientific thought in India.}}
Let's explore how these forces create the first state of matter we are all familiar with: the solid state.
The Solid State: Tightly Packed and Orderly
Think about the solid objects around you: your desk, a book, a stone, or an iron nail. What do they all have in common? If you try to change their shape by hammering or squeezing them, it's very difficult. They resist change.
This rigidity is a direct result of how particles are arranged in a solid.
{{KEY: concept | title=Particle Arrangement in Solids | text=In solids, the interparticle attractions are very strong. These powerful forces pull the particles extremely close together, leaving very little space between them. The particles are locked into fixed positions, forming a rigid, well-defined structure.}}
Because the particles are held so tightly, solids have two defining characteristics:
- Definite Shape: A solid keeps its shape regardless of the container it's in. A key will always look like a key, whether it's in your hand or in a box.
- Definite Volume: A solid occupies a fixed amount of space. You cannot compress a block of wood into a smaller volume easily.
{{VISUAL: diagram: Arrangement of particles in a solid, showing them tightly packed in a regular, fixed lattice with small arrows indicating vibration about their mean positions.}}
But are the particles in a solid completely still? Not at all! While they can't move from place to place, they are full of energy. They constantly vibrate or oscillate about their fixed positions. Imagine a classroom of students sitting in fixed chairs; they can wiggle and move in their seats but cannot run around the classroom. That's how particles in a solid behave.
{{KEY: points | title=Characteristics of Solids | text=- Have a definite shape and a definite volume.
- Interparticle forces of attraction are the strongest.
- Interparticle spaces are the smallest.
- Particles are tightly packed in fixed positions.
- Particles can only vibrate about their mean positions.}}
What Happens When Solids are Heated?
So, if particles in a solid are locked in place, is there any way to make them move apart? Yes, by giving them more energy in the form of heat!
When you heat a solid, its particles absorb the energy and begin to vibrate more and more vigorously. They push against their neighbours with greater force.
If you keep heating the solid, a point is reached where the vibrations become so energetic that the particles overcome the strong interparticle forces holding them in their fixed positions. They break free and start to slide past one another. At this moment, the solid structure collapses, and the substance transforms into a liquid. This process is called melting.
{{VISUAL: diagram: The process of melting, showing three stages. Stage 1: A solid with particles vibrating. Stage 2: Heat is applied, and vibrations become more vigorous. Stage 3: Particles break free from their fixed positions and form a liquid.}}
The specific temperature at which this magical transformation happens is a crucial property of the substance.
{{KEY: definition | title=Melting Point | text=The minimum temperature at which a solid melts to become a liquid at atmospheric pressure is called its melting point.}}
The strength of the interparticle forces directly affects the melting point.
- Strong Forces: Substances with very strong interparticle attractions, like iron, require a huge amount of heat energy to make their particles break free. Therefore, they have very high melting points.
- Weak Forces: Substances with weaker interparticle forces, like ice, need much less energy to melt. They have low melting points.
Let's look at a comparison:
| Material | Melting Point | Strength of Interparticle Forces |
|---|
| Ice | 0 °C | Relatively Weak |
| Urea | 133 °C | Moderate |
| Iron | 1538 °C | Very Strong |
{{KEY: exam | title=Melting Point and Interparticle Forces | text=A common question asks you to compare the melting points of two substances. Remember this simple rule: a higher melting point means stronger interparticle forces of attraction.}}
Solids are defined by their order and stability, but even they can change when given enough energy. This transition from solid to liquid is the first step in understanding the dynamic nature of matter.
Liquid state
The Liquid State: A World in Motion
In our last lesson, we saw how particles in solids are locked in a tight, vibrating dance. But what happens when we give these particles enough energy to break free from their fixed positions? They enter the fascinating world of the liquid state.
A Fixed Amount, But No Fixed Shape
Imagine pouring a glass of water. It starts in the glass, then you might pour it into a bottle, and then into a wide bowl. What do you notice?
The water's shape changes every time! This is the first key property of liquids: they have no fixed shape. They simply take the shape of whatever container they are in.
But did the amount of water change? No. If you started with 200 mL of water, you still have 200 mL in the glass, the bottle, and the bowl. This brings us to the second key property: liquids have a definite volume.
Let's explore this with an activity similar to the one in your textbook.
{{VISUAL: diagram: Three glass containers of different shapes (beaker, flask, measuring cylinder), all filled with the same volume of blue-colored water (e.g., 200 mL), showing that the water takes the shape of each container while the volume level remains constant.}}
Why does this happen?
It all comes back to the particles. In a liquid:
- The particles are still close together, which is why their volume is fixed. They can't be easily compressed.
- However, they are not held in fixed positions. They have enough energy to slide and tumble over one another. This freedom of movement allows the liquid to flow and take the shape of its container.
{{KEY: type=points | title=Characteristics of Liquids | text=- Have a fixed volume.
- Do not have a fixed shape; they take the shape of their container.
- Particles are closely packed but can slide past one another.
- Interparticle forces are weaker than in solids but stronger than in gases.}}
Moving Through Liquids
Think about swimming in a pool or just dipping your hand into a bucket of water. You can move your hand through the water easily. You are temporarily pushing the water particles aside, and they flow right back into place once your hand moves away.
{{VISUAL: photo: A hand with a finger gently stirring the surface of clear water in a bowl, creating ripples to show that particles can be moved aside easily.}}
Now, try pushing your hand through a wooden table. You can't! This simple comparison tells us something crucial about the forces between particles. The interparticle forces of attraction in liquids are weaker than in solids. They are strong enough to keep the particles together (maintaining a fixed volume) but weak enough to allow them to move past each other (allowing flow).
From Liquid to Gas: The Great Escape
What happens if we keep adding energy to a liquid, for example, by heating it? The particles start moving faster and faster!
Eventually, a point is reached where the particles have so much energy that they can completely overcome the forces of attraction holding them together. They escape from the liquid and fly off into the surrounding space. This process is called boiling.
{{KEY: type=definition | title=Boiling Point | text=The constant temperature at which a liquid boils and changes into its vapour or gaseous state at the atmospheric pressure.}}
When a liquid boils, you see bubbles forming throughout the liquid, not just at the surface. This is because particles everywhere in the liquid are gaining enough energy to turn into a gas.
But have you ever noticed a puddle of water on the road disappearing on a sunny day, even when the temperature is not 100 °C? This is due to a different, slower process called evaporation.
{{KEY: type=concept | title=Boiling vs. Evaporation | text=Boiling is a rapid process that occurs throughout the entire liquid at a specific temperature (the boiling point), seen as bubbles. Evaporation is a slower process that happens only from the surface of the liquid at any temperature below the boiling point.}}
The Gaseous State: Total Freedom
Once a liquid boils or evaporates, it becomes a gas. Gases behave very differently from both solids and liquids.
Imagine you light an incense stick in one corner of a room. Within minutes, you can smell its fragrance in the opposite corner. This is because the smoke and fragrance particles, which are in the gaseous state, don't stay in one place. They spread out to fill the entire room.
Let's visualize this with an experiment using two gas jars.
- Smoke from an incense stick is collected in one gas jar (Jar A) and covered.
- A second, empty gas jar (Jar B) is placed upside down on top of it.
- When the cover between them is removed, the smoke immediately starts spreading from Jar A into Jar B.
- Soon, the smoke is evenly distributed throughout both jars.
{{VISUAL: diagram: Two gas jars stacked vertically. The bottom jar contains brown smoke. An arrow shows a glass plate being removed. The final state shows the brown gas has spread evenly throughout both jars, illustrating that gases fill their container.}}
This simple experiment beautifully demonstrates the key properties of gases:
- They have no fixed shape.
- They have no fixed volume.
A gas will always expand to fill the entire space available to it. This is because the particles in a gas are very far apart, move randomly and at high speeds, and the forces of attraction between them are negligible.
{{ZOOM: title=What is Smoke? | text=Smoke isn't a true gas. It's a collection of tiny, solid carbon particles suspended in the air (which is a gas). Because these particles are so light, they are constantly knocked around by the invisible, fast-moving air particles, making their movement a great way to visualize how gases spread out.}}
Because both liquids and gases have the ability to flow, they are collectively known as fluids.
{{KEY: type=exam | title=Comparing States of Matter | text=Questions often ask you to differentiate between solids, liquids, and gases based on shape, volume, and interparticle forces. Be ready to explain these properties using the particle model of matter.}}
Gaseous state & How Does the Interparticle Spacing Differ in the Three States of Matter?
The Gaseous State: Freedom of Movement
Unlike solids and liquids, gases are unique. Imagine letting the air out of a balloon in a room. Does the air stay in one corner? No, it spreads out instantly to fill the entire room. This simple observation reveals the two most important properties of the gaseous state.
Gases have neither a fixed shape nor a fixed volume. They take on the shape and volume of whatever container they are in.
Activity: Visualising Gas Behaviour
Let's understand this with an experiment described in your textbook.
- Two transparent gas jars, A and B, are taken.
- Smoke from a burning incense stick is collected in Jar A, which is then held upside down and covered with a glass plate.
- Jar B (containing just air) is placed upside down over Jar A.
- When the glass plate separating them is slowly removed, the smoke from Jar A begins to spread upwards into Jar B.
- After a few moments, the smoke is distributed evenly throughout both jars, filling the entire combined space.
{{VISUAL: diagram: Four stages of the smoke jar experiment. Stage 1 shows collecting smoke in Jar A. Stage 2 shows Jar A covered. Stage 3 shows Jar B placed on top and the plate being removed. Stage 4 shows smoke evenly distributed in both Jars A and B.}}
What does this tell us? The tiny, solid particles of smoke are being constantly hit and pushed around by the invisible, fast-moving particles of the gases in the air (like nitrogen and oxygen). This random, high-speed motion is characteristic of gas particles.
Because the particles are moving so freely and the forces of attraction between them are negligible (almost non-existent), they spread out to occupy any available space.
{{KEY: points | title=Properties of Gases | text=- Particles are very far apart from each other.
- Forces of attraction between particles are negligible.
- Particles move randomly and at high speeds in all directions.
- They have no fixed shape and no fixed volume.
- They are highly compressible.}}
What are Fluids?
Both liquids and gases have the ability to flow. If you pour water, it flows. If you open a perfume bottle, the gaseous scent flows throughout the room. Because of this shared property, liquids and gases are together classified as fluids. Solids, which have a fixed shape, cannot flow and are not fluids.
How Does Interparticle Spacing Differ in the Three States of Matter?
The way particles are arranged—specifically, the space between them—is the fundamental reason why solids, liquids, and gases behave so differently. This space is called interparticle spacing.
Gases: Vast Empty Spaces
Let's investigate the spacing in gases with a simple syringe.
- Take a syringe without a needle and pull the plunger all the way out to fill it with air.
- Seal the opening with your thumb.
- Now, try to push the plunger in.
You'll notice that you can push the plunger in quite easily, reducing the volume of the air inside. This property is called compressibility. The reason we can compress air is that the gas particles are naturally very far apart. Pushing the plunger simply forces these particles closer together into the vast empty spaces between them. If you let go, the plunger moves back as the particles spread out again.
Liquids: Close, but with Wiggle Room
Now, repeat the same syringe activity with water instead of air. You will find it is almost impossible to push the plunger in. Water, like most liquids, is considered practically incompressible. This tells us that the particles in a liquid are packed much more closely together than in a gas.
But does that mean there is no space between them? Let's find out.
- Take a glass beaker and fill it halfway with water. Mark the water level.
- Add two teaspoons of sugar to the water. The water level will rise slightly.
- Stir the water until all the sugar dissolves completely.
- Observe the final water level.
You will see that the final water level is lower than it was right after adding the sugar, and it might be very close to the original level. Where did the sugar go? The sugar particles have occupied the small interparticle spaces that exist between the water particles.
{{VISUAL: diagram: Magnified view of sugar particles (small colored dots) occupying the interparticle spaces between larger water molecules (blue circles).}}
This proves that even though liquids are not very compressible, their particles still have small gaps between them.
{{KEY: concept | title=Dissolution and Interparticle Spaces | text=When a soluble solid like sugar or salt dissolves in a liquid like water, its particles break away and fit into the empty spaces between the liquid particles. This is why the total volume of the solution is often less than the sum of the individual volumes of the solvent (water) and the solute (sugar).}}
What about insoluble substances like sand? If you add sand to water, it doesn't dissolve. Its particles cannot fit into the spaces between water particles. They simply settle at the bottom, and the water level rises by an amount equal to the volume of the sand added.
Solids: Tightly Packed
In solids, the constituent particles are held together by very strong forces of attraction. They are packed in a fixed, orderly arrangement with minimal interparticle space. This is why solids have a definite shape and volume, are rigid, and cannot be compressed.
{{KEY: exam | title=Explaining Observations | text=A very common CBSE question asks you to explain an everyday phenomenon using the particulate nature of matter. For example: "Why does the smell of hot sizzling food reach you several metres away, but to get the smell from cold food you have to go close?" Your answer should mention the high kinetic energy of gas particles at high temperatures.}}
Summary of States of Matter
| Property | Solids | Liquids | Gases |
|---|
| Interparticle Spacing | Minimum | Moderate | Maximum |
| Interparticle Force | Strongest | Weaker than solids | Negligible |
| Shape & Volume | Fixed shape, Fixed volume | No fixed shape, Fixed volume | No fixed shape, No fixed volume |
| Compressibility | Negligible | Almost negligible | Highly compressible |
| Particle Motion | Vibrate in fixed positions | Can slide past one another | Move randomly at high speed |
The state of a substance is determined by the balance between the energy of its particles and the forces of attraction between them.
How Particles Move in Different States of Matter? & Summary & Quick Revision
How Particles Move in Different States of Matter?
So far, we know that matter is made of tiny, constantly moving particles. But how they move is what defines whether something is a solid, a liquid, or a gas. Let's explore this with some simple, everyday observations.
The Dance of Particles in Liquids
Imagine dropping a tiny crystal into a still glass of water. What happens? Does it just sit there? Let's find out.
Activity: The Spreading Colour
This classic experiment uses a substance called potassium permanganate, which has a deep purple colour.
- Take a glass tumbler filled with clear water.
- Carefully drop a single, tiny grain of potassium permanganate into it.
- Observe without stirring.
Initially, you'll see beautiful purple-pink streaks spreading out from the grain. After some time, the entire glass of water will turn a uniform light pink colour.
{{VISUAL: photo: A glass of clear water with a grain of potassium permanganate at the bottom, showing purple streaks spreading upwards and outwards into the water.}}
This happens because the particles of water are in constant, random motion. They bump into the crystal, knocking off particles of potassium permanganate. These freed particles are then carried around by the moving water particles, spreading them throughout the container until they are evenly mixed. This process of intermixing of particles on their own is called diffusion.
{{KEY: type=definition | title=Diffusion | text=The process of intermixing of particles of two different types of matter on their own is called diffusion. It happens because particles of matter are in constant motion.}}
Does Temperature Change the Speed?
What if we change the temperature of the water?
- Hot Water: The potassium permanganate spreads very quickly.
- Room Temperature Water: It spreads at a normal pace.
- Ice-Cold Water: The spreading is very slow.
This tells us something crucial: heating increases the speed of particles. When you provide heat, you are giving the particles more energy, specifically thermal energy, which makes them move faster. This increased movement is also why sugar dissolves faster in hot tea than in iced tea!
{{KEY: type=points | title=Temperature and Particle Motion | text=- Increasing the temperature increases the kinetic energy (energy of motion) of particles.
- Faster-moving particles collide more often and with more force, causing diffusion to happen more quickly.
- This principle applies to all states of matter, but is most noticeable in liquids and gases.}}
The Freedom of Particles in Gases
We can't see gas particles, but we can definitely detect their movement. How do you know someone is cooking your favourite meal, even from another room? How does the fragrance of a flower or a perfume reach you?
Activity: The Fragrant Incense Stick
- Light an incense stick (agarbatti) and place it in one corner of a room.
- Move to the opposite corner and wait.
At first, you'll only smell the fragrance near the stick. But within a few minutes, the scent will have spread throughout the entire room.
{{VISUAL: diagram: A simple diagram of a room. In one corner, an incense stick releases smoke particles (dots). Arrows show these particles spreading out randomly to fill the entire room, mixing with air particles (different dots).}}
This happens for the same reason as the potassium permanganate experiment, but much, much faster. The particles of fragrance from the incense stick mix with the air particles. Gas particles have a lot of energy and are very far apart, so they move freely and rapidly in all directions. They constantly collide with each other and the fragrance particles, quickly spreading them to fill all the available space.
Thermal Energy: The Deciding Factor
We can now connect everything we've learned. The physical state of a substance—solid, liquid, or gas—is determined by a competition between two things:
- Interparticle Force of Attraction: The force that tries to pull particles together and hold them in place.
- Thermal Energy: The energy particles have due to their motion. More heat means more thermal energy and faster movement.
- In solids, the interparticle forces are very strong and the thermal energy is low. The forces win, locking particles into fixed positions where they can only vibrate.
- In liquids, the thermal energy is higher, allowing particles to overcome the attractive forces just enough to slide past one another. The forces are still strong enough to keep the particles together in a defined volume.
- In gases, the thermal energy is very high. It completely overpowers the weak interparticle forces, allowing particles to fly apart and move freely in any direction.
{{KEY: type=concept | title=Energy vs. Attraction | text=The state of matter is a balance. Strong interparticle forces favour the solid state, while high thermal energy favours the gaseous state. The liquid state is an intermediate stage where these two factors are more balanced.}}
Let's Wrap Up: A Quick Comparison
This table summarises the key differences between the three states of matter based on their particulate nature.
| Property | Solid | Liquid | Gas |
|---|
| Interparticle Spacing | Minimum (very closely packed) | Slightly more than solids (loosely packed) | Maximum (very far apart) |
| Interparticle Force | Maximum (very strong) | Weaker than solids | Minimum (negligible) |
| Particle Movement | Vibrate in fixed positions only | Can move and slide past each other | Move freely and randomly in all available space |
| Energy of Particles | Lowest | Medium | Highest |
The essential difference between the states of matter lies in how much freedom its constituent particles have to move.
Check Your Understanding
It's time to test what you've learned from this chapter.
1. Choose the correct option.
The primary difference between solids and liquids is that the constituent particles are:
(i) closely packed in solids, while they are stationary in liquids.
(ii) far apart in solids and have fixed position in liquids.
(iii) always moving in solids and have fixed position in liquids.
(iv) closely packed in solids and move past each other in liquids.
- Answer: (iv) closely packed in solids and move past each other in liquids.
- Explanation: Particles in solids are tightly packed and only vibrate. In liquids, they are still close but have enough energy to slide past one another, which allows liquids to flow.
2. Which of the following statements are true? Correct the false statements.
(i) Melting ice into water is an example of a physical change.
(ii) In the gaseous state, particles have enough energy to overcome the forces of attraction between them.
- Answer: Both statements (i) and (ii) are true.
- Explanation:
- (i) Melting is a physical change because the chemical composition of water (H₂O) does not change; only its state changes from solid to liquid.
- (ii) This is the defining characteristic of the gaseous state. High thermal energy allows particles to move independently, overcoming the forces that would hold them together.
{{KEY: type=exam | title=Comparative Questions | text=Questions comparing the properties of solids, liquids, and gases are very common. Be prepared to explain differences based on interparticle space, forces of attraction, and particle movement (kinetic energy).}}